David Edmunds | Academic Influence

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David Edmunds

Mathematics

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Measure Theory

#1828

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#2235

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Mathematics

David Edmunds's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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According to Wikipedia, David Eric Edmunds FLSW is a British mathematician working in analysis. He obtained his PhD in 1955 at the University of Cardiff under the supervision of Rosa M. Morris. In 1996, he was awarded the Pólya Prize of the London Mathematical Society.

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David Edmunds's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Spectral Theory and Differential Operators (1987) (955)
Function Spaces, Entropy Numbers, Differential Operators (1996) (475)
Sobolev embeddings with variable exponent (2000) (471)
Hardy Operators, Function Spaces and Embeddings (2004) (229)
Sobolev Embeddings with Variable Exponent, II (2002) (211)
Optimal Sobolev Imbeddings Involving Rearrangement-Invariant Quasinorms☆ (2000) (196)
Critical exponents, critical dimensions and the biharmonic operator (1990) (176)
Bounded and Compact Integral Operators (2002) (160)
Density of smooth functions in Wk, p(x) (Ω) (1992) (160)
On Lp(x)norms (1999) (152)
ASPECTS OF SOBOLEV-TYPE INEQUALITIES (London Mathematical Society Lecture Note Series 289) By LAURENT SALOFF-COSTE: 190 pp., £24.95 (LMS members' price £18.71), ISBN 0 521 00607 4 (Cambridge University Press, 2001) (2002) (124)
Properties of generalized trigonometric functions (2012) (95)
Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces (1995) (93)
Eigenvalues, Embeddings and Generalised Trigonometric Functions (2011) (85)
On Embeddings of Logarithmic Bessel Potential Spaces (1997) (83)
Entropy Numbers and Approximation Numbers in Function Spacess (1989) (73)
Double exponential integrability, Bessel potentials and embedding theorems (1995) (62)
Sharp sobolev embeddings and related hardy inequalities: The critical case (1999) (60)
Spectral theory for isotropic fractal drums (1998) (60)
Compactness of Hardy-type integral operators in weighted Banach function spaces (1994) (59)
FOURIER ANALYSIS AND APPROXIMATION, VOL. I (1973) (55)
On the Boundedness and Compactness of Weighted Hardy Operators in Spaces 𝐿𝑝(𝑥) (2005) (54)
INTRODUCTION TO PSEUDODIFFERENTIAL AND FOURIER INTEGRAL OPERATORS VOL. 1: PSEUDODIFFERENTIAL OPERATORS VOL. 2: FOURIER INTEGRAL OPERATORS (1982) (52)
Sharpness of embeddings in logarithmic Bessel-potential spaces (1996) (50)
Approximation Numbers of Certain Volterra Integral Operators (1988) (47)
EIGENVALUES AND s -NUMBERS (Cambridge Studies in Advanced Mathematics 13) (1989) (47)
Remarks on generalized trigonometric functions (2012) (45)
Eigenfrequencies of isotropic fractal drums (1999) (43)
Two-sided estimates of the approximation numbers of certain Volterra integral operators (1997) (40)
Spaces of Lipschitz type, embeddings and entropy numbers (1999) (38)
Fractional Integrals on Measure Spaces (2002) (38)
Reiteration theorems for the K‐interpolation method in limiting cases (2011) (37)
Interpolation theory and measures of non‐compactness (1981) (36)
Logarithmic Sobolev Spaces and Their Applications to Spectral Theory (1995) (34)
Potential-Type Operators in $L^{p(x)}$ Spaces (2002) (34)
Norms of embeddings of logarithmic Bessel potential spaces (1998) (32)
Embeddings in Spaces of Lipschitz Type, Entropy and Approximation Numbers, and Applications (2000) (32)
Non-compact positive operators (1972) (32)
Elliptic and degenerate-elliptic operators in unbounded domains (1973) (32)
Fourier approximation and embeddings of Sobolev spaces (1977) (29)
Approximation numbers and Kolmogorov widths of Hardy‐type operators in a non‐homogeneous case (2006) (28)
Weighted Poincaré and Friedrichs Inequalities (1993) (26)
On Weighted Poincaré Inequalities (1996) (25)
Density of Smooth Functions in WFormula(Formula) (1992) (25)
Boundedness of fractional maximal operators between classical and weak-type Lorentz spaces (2002) (25)
Differential Operators On Spaces Of Variable Integrability (2014) (25)
Entropy numbers of embeddings of Sobolev spaces in Zygmund spaces (1998) (24)
Real interpolation and compact linear operators (1990) (24)
Fractional Hardy-type inequalities in domains with uniformly fat complement (2013) (24)
Averaging operators on l^{p_n} and L^p(x) (2002) (23)
Two-Weighted Inequalities for Singular Integrals (1995) (23)
Two-Weight estimates in Lp(x) spaces with applications to Fourier series (2009) (23)
Remarks on non-linear functional equations (1967) (22)
SINGULARITIES OF SOLUTIONS OF SECOND ORDER QUASILINEAR EQUATIONS (Pitman Research Notes in Mathematics 353) (1999) (22)
Limiting variants of Krasnoselʼskiĭʼs compact interpolation theorem (2014) (22)
A Harnack Inequality for Weak Solutions of Degenerate Quasilinear Elliptic Equations (1972) (21)
Quasilinear parabolic equations (1971) (20)
A trace inequality for generalized potentials in Lebesgue spaces with variable exponent (2004) (20)
On Decomposition in Exponential Orlicz Spaces (2000) (20)
Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case (2004) (20)
A nonlocal regularization of some over-determined boundary-value problems I (1998) (19)
On the Singular Numbers of Certain Volterra Integral Operators (1995) (18)
The measure of non-compactness and approximation numbers of certain Volterra integral operators (1994) (18)
Nonlinear elliptic equations (1974) (18)
On the uniqueness of viscous flows (1963) (17)
Eigenvalue distributions of some degenerate elliptic operators: An approach via entropy numbers (1994) (17)
Remainder estimates for the approximation numbers of weighted Hardy operators acting onL2 (2001) (17)
Sobolev inequalities of exponential type (2001) (17)
Quasilinear elliptic problems in unbounded domains (1973) (17)
Optimality of embeddings of logarithmic Bessel potential spaces (2000) (16)
Boundedness of classical operators on rearrangement-invariant spaces (2019) (15)
Alternative characterisations of Lorentz-Karamata spaces (2008) (15)
ASYMPTOTIC EXPANSIONS FOR PSEUDODIFFERENTIAL OPERATORS ON BOUNDED DOMAINS (Lecture Notes in Mathematics 1152) (1987) (15)
SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES (1979) (15)
Basis properties of generalized trigonometric functions (2014) (14)
Weighted Hardy inequalities (2005) (14)
Gelfand numbers and widths (2013) (14)
Lower Bounds for Solutions of the Navier‐Stokes Equations (1968) (14)
The Rellich inequality (2016) (14)
Asymptotically Sharp Multiplicative Inequlities (1995) (14)
Entropy numbers of operators acting between vector‐valued sequence spaces (2013) (13)
Some s-numbers of an integral operator of Hardy type on Lp(⋅) spaces (2009) (13)
Compact and continuous embeddings of logarithmic Bessel potential spaces (2005) (13)
Removable Singularities of Solutions of the Navier-Stokes Equations (1970) (13)
Entropy Numbers of Embeddings of Fractional Besov–Sobolev Spaces in Orlicz Spaces (1987) (12)
On a Measure of Non–compactness for Some Classical Operators (2006) (12)
CIarkson's InequaIities, Besoy Spaces and Triebel–Sobolev Spaces (1988) (12)
Asymptotic behavior of solutions of the Navier-stokes equations (1966) (12)
Sharp Estimates of the Embedding Constants for Besov Spaces (2006) (11)
Removable Singularities of Solutions of Quasilinear Parabolic Equations (1970) (11)
Orlicz and Sobolev spaces on unbounded domains (1975) (11)
Optimal function spaces for the Laplace transform (2017) (10)
Some generalizations of the Borsuk–Ulam theorem (1977) (10)
Entropy numbers and interpolation (2011) (10)
Embeddings of Sobolev Spaces with Weights of Power Type (1985) (9)
COMPLETENESS OF ROOT FUNCTIONS OF REGULAR DIFFERENTIAL OPERATORS (Pitman Monographs and Surveys in Pure and Applied Mathematics 71) (1996) (9)
On the Entropy Numbers of an Operator and its Adjoint (1986) (9)
Weighted Poincaré inequalities and Minkowski content (1995) (9)
On a measure of non–compactness for maximal operators (2003) (9)
On a higher-order Hardy inequality (1999) (9)
On the existence of solutions of the equations of magnetohydrodynamics (1962) (9)
Poincaré and Friedrichs inequalities in abstract Sobolev spaces II (1993) (8)
Schütt's theorem for vector-valued sequence spaces (2013) (8)
Nuclearity and non-nuclearity of some Sobolev embeddings on domains (2016) (8)
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems (2008) (8)
A Leray-Schauder theorem for a class of nonlinear operators (1969) (8)
Bernstein widths of Hardy-type operators in a non-homogeneous case (2007) (8)
ON SOME MULTIPLICATIVE INEQUALITIES AND APPROXIMATION NUMBERS (1994) (7)
Fourth-order nonlinear elliptic equations with critical growth (1989) (7)
PERTURBATION THEORY FOR LINEAR OPERATORS (1968) (7)
Sobolev Embeddings and Hardy Operators (2009) (7)
Non-Compact and Sharp Embeddings of Logarithmic Bessel Potential Spaces into Hölder-Type Spaces (2006) (7)
On the distribution of Eigenvalues of Schrödinger operators (1985) (7)
On weighted critical imbeddings of Sobolev spaces (2011) (7)
One‐sided operators in Lp (x) spaces (2008) (7)
Variations on Yano's extrapolation theorem. (2005) (7)
Two-Weight Estimates for Singular Integrals Defined on Spaces of Homogeneous Type (2000) (7)
Characterisation of zero trace functions in variable exponent Sobolev spaces (2017) (7)
Sobolev‐type inequalities for potentials in grand variable exponent Lebesgue spaces (2019) (6)
A uniqueness theorem in magnetobydrodynamics (1961) (6)
Non-nuclearity of a Sobolev embedding on an interval (2014) (6)
Generalizing trigonometric functions from different points of view (2015) (6)
Elliptic Differential Operators and Spectral Analysis (2018) (6)
On fourier multipliers in weighted Triebel–Lizorkin spaces (2002) (6)
Estimates for Blow-Up Solutions to Nonlinear Elliptic Equations with p-Growth in the Gradient (2010) (5)
Sharp estimates of the embedding constants for Besov spaces bsp,q, 0 < p < 1, (2007) (5)
OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS (1972) (5)
Asymptotic Behaviour of Solutions of the Stationary Navier‐Stokes Equations (1969) (5)
Embeddings of anisotropic sobolev spaces (1986) (5)
A spectral analysis of compact linear operators in Banach spaces (2010) (5)
The improved Hardy inequality (2011) (5)
Equivalent quasi-norms on lorentz spaces (2002) (5)
Sobolev Spaces with Variable Exponent (2014) (5)
ON FRACTIONAL INTEGRATION IN WEIGHTED LORENTZ SPACES (1997) (5)
Nuclear Embeddings of Besov Spaces into Zygmund Spaces (2020) (5)
Rellich's theorem in irregular domains (2004) (5)
A Liouville Theorem for Degenerate Elliptic Equations (1973) (5)
TOPICS IN DIFFERENTIAL AND INTEGRAL EQUATIONS AND OPERATOR THEORY: (Operator Theory: Advances and Applications 7) (1984) (5)
The 𝔧‐eigenfunctions and s ‐numbers (2010) (5)
FULLY NONLINEAR ELLIPTIC EQUATIONS (Amer. Math. Soc. Colloquium Publications 43) By Luis A. Caffarelli and Xavier Cabre: 104 pp., US$39.00, ISBN 0 8218 0437 5 (American Mathematical Society, 1995) (1997) (5)
Characterisation of zero trace functions in higher-order spaces of Sobolev type (2018) (5)
Construction of Function Spaces Close to L ∞ with Associate Space Close to L 1 (2017) (4)
Representations of Linear Operators Between Banach Spaces (2013) (4)
The inner variation of an operator and the essential norms of pointwise multipliers in function spaces (2005) (4)
Entropy of C(Z)-Valued Operators and Diverse Applications (2001) (4)
Asymptotic formulae for s-numbers of a Sobolev embedding and a Volterra type operator (2015) (4)
Asymptotics for eigenvalues of a non-linear integral system (2007) (4)
On self-adjointness of the product of two second-order differential operators (1999) (4)
Hyperbolic Differential Inequalities (1967) (4)
Operators of Hardy type (2007) (4)
EIGENFREQUENCIES OF FRACTAL DRUMS (1999) (4)
Decomposition and Moser’s lemma (2002) (4)
Entropy and Approximation Numbers of Embeddings in Orlicz Spaces (1985) (4)
Entropy numbers of tensor products of operators (1993) (3)
Coincidence of strict s-numbers of weighted Hardy operators (2011) (3)
Fractional Sobolev Spaces and Inequalities (2022) (3)
Nonlinear operator equations in Hilbert spaces (1971) (3)
On the Regularity of Solutions of the Navier‐Stokes Equations (1969) (3)
On Hardy—Type Inequalities (1998) (3)
Second-Order Elliptic Equations (2018) (3)
Decay of (p,q)-Fourier coefficients (2014) (3)
Explicit representation of compact linear operators in Banach spaces via polar sets (2013) (3)
On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential (1983) (3)
From Real to Complex Analysis (2014) (3)
Embeddings of Sobolev spaces (1979) (3)
Spectral problems on arbitrary open subsets of R n involving the distance to the boundary (2006) (3)
Embedding theorems and the spectra of certain differential operators (1991) (2)
Some remarks on variants of the Navier-Stokes equations (1971) (2)
Function Spaces, Entropy Numbers, Differential Operators: References (1996) (2)
Remarks on the Hardy inequality. (1997) (2)
Remarks on certain non-linear elliptic equations in unbounded domains (1985) (2)
Measure of noncompactness of Sobolev embeddings on strip-like domains (2020) (2)
On the instability of taylor and dean flows under the influence of a circular magnetic field (1961) (2)
Measure of noncompactness, surjectivity of gradient operators and an application to the p-Laplacian (2019) (2)
Formulae for the distance in some quasi-Banach spaces (2005) (2)
Entropy Numbers of Limiting Embeddings of Logarithmic Sobolev Spaces into Exponential Spaces (2008) (2)
Eigenvalue asymptotics and a non-linear Schrödinger equation (1993) (2)
Behaviour of _{} norms of the _{} function (2018) (2)
Weight Inequalities for Singular Integrals Defined on Spaces of Homogeneous and Nonhomogeneous Type (2001) (2)
Function spaces and applications (2000) (2)
Poincaré and Friedrichs inequalities in abstract Sobolev spaces (1993) (2)
Entropy and Approximation Numbers of Embeddings (1996) (2)
Basis and regularity properties of (p,q)-trigonometric functions and the decay of (p,q)-Fourier coefficients (2018) (2)
Non‐Linear Functional Equations in Locally Convex Spaces (1966) (2)
Distance Functions and Orlicz-Sobolev Spaces (1986) (2)
Series representation of compact linear operators in Banach spaces (2016) (2)
Two-weighted Hardy operators in $L^{p(\cdot )}$ spaces and applications (2019) (1)
Behaviour of $L_{q}$ norms of the $\operatorname {sinc}_{p}$ function (2018) (1)
The Rellich inequality (2016) (1)
Entropy Numbers of Compact Operators (1986) (1)
Embeddings in Grand Variable Exponent Function Spaces (2021) (1)
APPLIED FUNCTIONAL ANALYSIS (1981) (1)
Remarks on inequalities of Poincaré type (1995) (1)
Entropy Numbers for Non-Compact Self-Adjoint Operators in HILBERT Spaces (1981) (1)
Two Uniqueness Theorems Associated with Parabolic Differential Operators (1964) (1)
s-Numbers and Generalised Trigonometric Functions (2011) (1)
Corrigendum. A spectral analysis of compact linear operators in Banach spaces (2012) (1)
Almost compact and compact embeddings of variable exponent spaces (2021) (1)
Embeddings, Hardy operators and nonlinear problems (2010) (1)
ON THE STABILITY OF MAGNETOHYDRODYNAMIC FLOW IN A CURVED CHANNEL (1962) (1)
The Neumann Laplacian on Generalized Ridged Domains (1995) (1)
The structure of compact linear operators in Banach spaces (2013) (1)
Jacob Lionel Bakst Cooper (1981) (1)
THE MOVING AEROFOIL IN SHEAR FLOW IN THE NEIGHBOURHOOD OF A PLANE BOUNDARY (1957) (1)
ANALYTIC THEORY OF PARTIAL DIFFERENTIAL EQUATIONS (Monographs and Studies in Mathematics, 8) (1981) (1)
Sobolev Spaces (2018) (1)
Construction of Function Spaces Close to $$L^\infty $$L∞ with Associate Space Close to $$L^1$$L1 (2017) (1)
APPROXIMATION AND ENTROPY NUMBERS OF SOBOLEV EMBEDDINGS OVER DOMAINS WITH FINITE MEASURE (1990) (1)
Approximation numbers of embeddings of Sobolev spaces (1996) (1)
Estimates of s-numbers of a Sobolev embedding involving spaces of variable exponent (2015) (1)
Hardy-type Operators (2002) (1)
Representation of Compact Linear Operators (2013) (1)
Coincidence and Calculation of some Strict $s$-Numbers (2012) (1)
LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS (1969) (1)
Recent developments concerning entropy and approximation numbers (1994) (1)
Coverings of Convex Sets and Volume Inequalities (2000) (1)
INTRODUCTION TO THE THEORY OF DISTRIBUTIONS (1983) (0)
EQUATIONS OF THE MIXED TYPE (1965) (0)
Multipliers of Fourier Transforms (2002) (0)
Continuous spectrum eigenfunction expansions and the Cauchy problem in L1 (1993) (0)
The Laplacian and Some Natural Variants (2011) (0)
Behaviour of $L_{q}$ norms of the $\sinc_{p}$ function (2018) (0)
The Abstract Background (1996) (0)
Essential Spectra of General Second-Order Differential Operators (2018) (0)
A spectral analysis of compact linear operators in Banach spaces (2012) (0)
Function Spaces, Entropy Numbers, Differential Operators: Function Spaces (1996) (0)
Generalized Dirichlet and Neumann Boundary-Value Problems (2018) (0)
Local stability of spike steady states in a simplified Gierer-Meinhardt system. (2005) (0)
Supplementary material from "Frederick Gerard Friedlander. 25 December 1917 — 20 May 2001" (2017) (0)
Function Spaces, Entropy Numbers, Differential Operators: Elliptic Operators (1996) (0)
Operators and Quadratic Forms in Hilbert Space (2018) (0)
Remarks on j−$j-$ eigenfunctions of operators (2023) (0)
A multilinear Rellich inequality (2021) (0)
A Non-Linear Integral System (2011) (0)
The $$L_{p}$$ Approach to the Laplace Operator (2018) (0)
Approximation numbers of embeddings of Sobolev spaces (1996) (0)
More Refined Estimates (2011) (0)
MAXIMUM PRINCIPLES IN DIFFERENTIAL EQUATIONS (1969) (0)
Fractional Integrals on the Line (2002) (0)
Capacity and Compactness Criteria (2018) (0)
XXII.—A Priori Estimates and Nonlinear Parabolic Equations of Arbitrary Order (1972) (0)
Realisations of Second-Order Linear Elliptic Operators (2018) (0)
Inequalities of Rellich Type (2021) (0)
Elliptic Operators of Arbitrary Order (2018) (0)
Poincaré and Hardy inequalities (2004) (0)
Entropy Numbers, Approximation Numbers, and Embeddings (1998) (0)
Entropy Numbers, s-Numbers, and Eigenvalues (2018) (0)
One-Sided Maximal Functions (2002) (0)
The structure of compact linear operators in Banach spaces (2012) (0)
Approximation on Lp Spaces (2014) (0)
THE MOVING AEROFOIL IN THE NEIGHBOURHOOD OF A PLANE BOUNDARY (1956) (0)
Non-compact embeddings of Sobolev spaces (2022) (0)
Entropy numbers, s-numbers and eigenvalues (2018) (0)
Estimates for the Singular Values of −Δ‎ + q when q is Complex (2018) (0)
Approximation numbers of Sobolev embeddings (2004) (0)
Anisotropic Spaces and the Distance Function (1987) (0)
Estimates of s-Numbers of Weighted Hardy Operators (2011) (0)
More Properties of Sobolev Embeddings (2018) (0)
BOUNDARY VALUE PROBLEMS (1970) (0)
Frederick Gerard Friedlander. 25 December 1917 — 20 May 2001 (2017) (0)
The Dirac Operator (2018) (0)
F. Treves Locally Convex Spaces and Linear Partial Differential Equations (Springer-Verlag, Berlin, 1967), xii+121 pp., DM 36. (1969) (0)
Potentials on R N (2002) (0)
FIXED POINT THEOREMS (1976) (0)
Second-Order Differential Operators on Arbitrary Open Sets (2018) (0)
Optimal function spaces for the Laplace transform (2017) (0)
Inequalities of Rellich Type (2021) (0)
Editor's Choice One-sided operators in L p(x) spaces (2008) (0)
LECTURES ON FUNCTIONAL ANALYSIS, II: PERTURBATION BY UNBOUNDED OPERATORS (ISI Lecture notes, No. 6) (1981) (0)
On the Rellich inequality in L p(·)(a,b) (2018) (0)
THE DIFFERENTIAL EQUATIONS OF MAGNETOHYDRODYNAMICS (1962) (0)
ERRATUM to: Embeddings of Sobolev Spaces with Weights of Power Type (1986) (0)
Ball Fractional Integrals (2002) (0)
Weighted Function Spaces and Entropy Numbers (1996) (0)
Representation of Bounded Linear Operators (2013) (0)
The \(p-\)Laplacian (2018) (0)
THE UNIQUENESS OF THE SOLUTIONS OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS (1962) (0)
LINEAR DIFFERENTIAL EQUATIONS AND FUNCTION SPACES (1968) (0)
Unbounded Linear Operators (2018) (0)
The Riemann Integral (2014) (0)
COMPACT LINEAR OPERATORS VIA NONLINEAR ANALYSIS (2011) (0)
Sesquilinear Forms in Hilbert Spaces (2018) (0)
The Classical Dirichlet Problem for Second-Order Elliptic Operators (2018) (0)
Remarks on Surjectivity of Gradient Operators (2020) (0)
Functions of trigonometric type and bases in L q (2006) (0)
Generalised ridged domains (2004) (0)
QUASILINEAR ELLIPTIC DIFFERENTIAL EQUATIONS (1979) (0)
Linear Operators in Banach Spaces (2018) (0)
Essential Spectra (2018) (0)
Asymptotic formulae for s-numbers of a Sobolev embedding and a Volterra type operator (2015) (0)
Entropy, Embeddings and Equations (2003) (0)
Global and Asymptotic Estimates for the Eigenvalues of −Δ‎ + q when q Is Real (2018) (0)
Nuclear Embeddings of Besov Spaces into Zygmund Spaces (2020) (0)
Fractional Hardy-type inequalities in domains with plump complement (2012) (0)
Banach function spaces (2004) (0)
ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS PROCEEDINGS, DUNDEE, SCOTLAND 1978 (1982) (0)
Quasilinear Second order Elliptic and Parabolic Equations (1970) (0)
Some s-numbers of an integral operator of Hardy type in Banach function spaces (2015) (0)
Hardy Operators on Variable Exponent Spaces (2011) (0)
Σ-symmetric locally convex spaces (1963) (0)
Differential and Integral Inequalities. By W. WALTER. Springer-Verlag, 1970. 352 pp. DM 74 or $20.40. (1971) (0)

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