Jaak Peetre

Q: What Schools Are Affiliated With Jaak Peetre

Jaak Peetre is affiliated with the following schools: Stockholm University, Uppsala University, Lund University

Jaak Peetre's AcademicInfluence.com Rankings

Jaak Peetre

Mathematics

#3289

World Rank

#4887

Historical Rank

Measure Theory

#1498

World Rank

#1869

Historical Rank

mathematics Degrees

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Mathematics

Jaak Peetre's Degrees

PhD Mathematics Uppsala University

Why Is Jaak Peetre Influential?

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According to Wikipedia, Jaak Peetre was an Estonian-born Swedish mathematician. He is known for the Peetre theorem and Peetre's inequality. Biography Jaak Peetre's father was Arthur Peetre , an Estonian jurist, historian, archivist, and from 1941 to 1942 mayor of Pärnu. Jaak Peetre went to Sweden with his parents and brother in 1944. At Lund University he graduated with BSc in 1956 and PhD in 1959. His thesis advisor was Åke Pleijel. At Lund University, Peetre was an assistant professor from 1956 to 1959, an associate professor from 1960 to 1963, and full professor from 1963 to 1988. He was briefly in 1988 a visiting professor at the University of Madrid and was from 1988 to 1992 a visiting professor at Stockholm University. At Lund University he was a lecturer from 1993 to 1997, an assistant professor from 1997 to 2000, and professor emeritus from 2000. He was also a visiting professor at New York University for the academic year 1960–1961 and at University of Maryland for the academic year 1961–1962.

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Jaak Peetre'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

New thoughts on Besov spaces (1976) (803)
Function spaces on subsets of Rn (1984) (583)
On the theory of Lp,λ spaces (1969) (425)
Möbius invariant function spaces. (1985) (236)
Hankel Forms and the Fock Space. (1987) (228)
HANKEL OPERATORS ON WEIGHTED BERGMAN SPACESI (1988) (207)
On spaces of Triebel—Lizorkin type (1975) (193)
Another approach to elliptic boundary problems (1961) (172)
Interpolation of Orlicz spaces (1977) (165)
The method of orbits in interpolation theory (1984) (139)
Interpolation of normed abelian groups (1972) (127)
Isolation and characterization of acetic acid-tolerant galactose-fermenting strains of Saccharomyces cerevisiae from a spent sulfite liquor fermentation plant (1992) (117)
On convolution operators leavingLp,λ spaces invariant (1966) (103)
Paracommutators—boundedness and Schatten-von Neumann properties (1988) (93)
Approximation theorems connected with generalized translations (1969) (90)
Interpolation of Compact Operators: The Multidimensional Case (1991) (67)
A new approach in interpolation spaces (1970) (60)
Möbius covariance of iterated Dirac operators (1994) (58)
On the action of Hankel and Toeplitz operators on some function spaces (1984) (55)
Membership of Hankel Operators on the Ball in Unitary Ideals (1991) (54)
Function Spaces and Applications (1988) (49)
Notes on Wolff's Note on Interpolation Spaces (1984) (47)
Interpolation of compactness using Aronszajn-Gagliardo functors (1989) (46)
On the Rate of Convergence for Discrete Initial-Value Problems. (1967) (45)
A generalization of Courant's nodal domain theorem. (1957) (45)
A New Generalization of Hankel Operators (the Case of Higher Weights) (1987) (43)
$p$-arclength of the $q$-circle (2003) (42)
Mixed problems for higher order elliptic equations in two variables, II (1961) (36)
On Hadamard's variational formula (1980) (34)
On the connection between real and complex interpolation of quasi-banach spaces (1998) (34)
Interpolation and non-commutative integration (1975) (32)
Notes on projective structures on complex manifolds (1989) (31)
Schatten-von Neumann classes of multilinear forms (1992) (29)
An identity for reproducing kernels in a planar domain and Hilbert-Schmidt Hankel operators. (1990) (29)
A green's function for the annulus (1996) (28)
Interpolation Spaces and Allied Topics in Analysis (1984) (28)
A remark on sobolev spaces. The case 0 < p < 1 (1975) (27)
HARMONIC ANALYSIS ON THE QUANTIZED RIEMANN SPHERE (1993) (26)
On the formula of Jacques-Louis Lions for reproducing kernals of harmonic and other functions (2004) (23)
A submultiplicative function (1989) (23)
Concave majorants of positive functions (1970) (22)
On Gp‐Classes of Trilinear Forms (1999) (22)
Remark on Eigenfunction Expansions for Elliptic Operators with Constant Coefficients. (1964) (21)
Two Remarkable Identities, Called Twos, for Inverses to Some Abelian Integrals (2001) (21)
Approximation of norms (1970) (20)
Remark on the Dual of an Interpolation Space. (1974) (18)
INTERPOLATION FUNCTORS AND BANACH COUPLES (1970) (18)
H p spaces (1975) (17)
General Beckenbach's inequality with applications (1989) (17)
On the Correspondence Principle for the Quantized Annulus. (1996) (17)
A weighted Plancherel formula III: the case of the hyperbolic matrix ball (1992) (17)
Locally analytically pseudo-convex topological vector spaces (1982) (17)
Covariant Cauchy-Riemann operators and higher Laplacians on Kähler manifolds. (1996) (17)
Correspondence principle for the quantized annulus, Romanovski polynomials, and Morse potential (1993) (16)
Higher order commutators of singular integral operators (1984) (16)
Möbius invariant spaces of analytic functions (1987) (16)
Extreme points of the complex binary trilinear ball (2000) (15)
Paracommutators and Minimal Spaces (1985) (15)
Preface to The English Translation (1991) (15)
On the generalized Hardy's inequality of McGhee, Pigno and Smith and the problem of interpolation between BMO and a Besov space. (1984) (14)
Invariant Function Spaces Connected with the Holomorphic Discrete Series (1984) (14)
On certain functionals arising in the theory of interpolation spaces (1969) (14)
Hankel Forms of Arbitrary Weight over a Symmetric Domain Via the Transvectant (1994) (14)
Hankel operators on planar domains (1990) (14)
Absolute convergence of eigenfunction expansions (1967) (13)
On Estimating the Solutions of Hypoelliptic Differential Equations Near the Plane Boundary. (1961) (12)
A proof of the hypoellipticity of formally hypoelliptic differential operators (1961) (12)
Generalizing the arithmatic geometric mean — a hapless computer experiment (1989) (12)
Edgar Krahn, 1894-1961 ; a centenary volume (1994) (11)
Invariant Cauchy-Riemann operators and relative discrete series of line bundles over the unit ball of Cd. (1998) (11)
Some Real Interpolation Methods for Families of Banach Spaces (1997) (10)
On the differentiability of the solutions of quasilinear partial differential equations (1962) (10)
On the K functional between L 1 and L 2 and some other K functionals (1986) (10)
On theory of interpolation spaces (1967) (10)
Remarks on symmetries of trilinear forms (2000) (10)
Function Spaces, Interpolation Theory and Related Topics: Proceedings of the International Conference in honour of Jaak Peetre on his 65th birthday. Lund, Sweden August 17-22, 2000 (2002) (10)
Multilinear Forms of Hilbert Type and Some Other Distinguished Forms (2006) (9)
A new look on Hankel forms over Fock space (1989) (9)
Elliptic partial differential equations of higher order (1962) (8)
Embedding constants of trilinear Schatten–von Neumann classes (2006) (8)
Outline of a scientific biography of Ernst Meissel (1826-1895) (1995) (8)
Three-line theorems and clifford analysis (1992) (8)
Hankel kernels of higher weight for the ball (1993) (8)
Two new interpolation methods based on the duality map (1979) (8)
Two observations on a theorem by Coifman (1979) (7)
Hankel forms on multiply connected plane domains. part one. the case of connectivity two (1988) (7)
Some calculations related to Fock space and the Shale-Weil representation (1989) (7)
Green's Functions for Powers of the Invariant Laplacian (1998) (7)
The life and work of Olof Thorin (1912-2004) (2008) (7)
Besov norms of rational functions (1988) (6)
Paracommutators - brief introduction, open problems (1989) (6)
Correction to the paper “On spaces of Triebel-Lizorkin type” (1976) (6)
On the trace of potentials (1975) (5)
Singular Values of Trilinear Forms (2001) (5)
On the $S_4$-Norm of a Hankel Form (1992) (5)
Orthogonal polynomials arising in connection with Hankel forms of higher weight (1992) (5)
Weak Factorization in Periodic Fock Space (1990) (5)
Generalized Trigonometric Functions: 10744 (2001) (5)
Some observations on algorithms of the Gauss-Borchardt type (1991) (4)
Some Compactness Results in Real Interpolation for Families of Banach Spaces (1998) (4)
Reproducing formulae for monogenic functions (1992) (4)
A Multidimensional Wolff Theorem (1989) (4)
On the development of interpolation - instead of a history three letters (2002) (3)
Rational approximation - analysis of work of Pekarskii (1989) (3)
Hankel forms on Fock space modulo CN (1988) (3)
A New Kind of Hankel-toeplitz Type Operator Connected with the Complementary Series (2000) (3)
Some Remarks on Continuous Orthogonal Expansions, and Eigenfunction Expansions for Positive Self-Adjoint Elliptic Operators with Variable Coefficients. (1965) (3)
The theory of interpolation spaces — its origin, prospects for the future (1984) (3)
Green functions and eigenfunction expansions for the square of the Laplace–Beltrami operator on plane domains (2002) (3)
ϵ-Entropy, ϵ-Rate, and Interpolation Spaces Revisited with an Application to Linear Communication Channels (1994) (2)
Projective structures on an annulus and Hankel forms (1991) (2)
Properties of the L function (1982) (2)
Covariant differential operators and Green's functions (1997) (2)
On Some Iterated Means Arising in Homogenization Theory (2004) (2)
Big Hankel operators of higher weight (1989) (2)
Estimates for eigenfunctions (1967) (2)
On the Structure of Bounded Trilinear Forms (1997) (2)
Some estimates for spectral functions (1966) (2)
Duality for Fernandez Type Spaces (1984) (2)
Pointwise convergence of singular convolution integrals (1966) (1)
Generalized Fock spaces, interpolation, multipliers, circle geometry (1996) (1)
An integration problem (2008) (1)
Relations Entre Deux Méthodes D’Interpolation (1966) (1)
On an algorithm considered by Stieltjes (1990) (1)
Hankel and Toeplitz operators (1994) (1)
Quaternary binary trilinear forms (2005) (1)
The classes Va are monotone (1988) (1)
Quaternary binary trilinear forms of norm unity (2006) (1)
Ernst Meissel and the Pythagorean Problem { the Drei-kk Orper-problem in the Nachlass Meissel (1997) (0)
A quasi-linearizable pair connected with 3-line theorems (1992) (0)
DOUBLE INTEGRAL ESTIMATES FOR BESOV TYPE SPACES AND AN APPLICATION TO HANKEL TYPE OPERATORS (2022) (0)
Fourier Analysis of a space of Hilbert-Schmidt operators: new "Ha-plitz" type operators (1990) (0)
The Euler derivative. An intrinsic approach to the calculus of variations. (1978) (0)
NEW HA-PLITZ TYPE OPERATORS (1990) (0)
J AAK P EETRE Pointwise convergence of singular convolution integrals (2018) (0)
Banach Couples. I. Elementary Theory (2023) (0)
Paracommutators-brief iníroduction , open problems (2014) (0)
Generalised Fock spaces, abstract interpolation, multipliers circle geometry (1996) (0)
Function Spaces and Applications: Proceedings of the Us-Swedish Seminar Held in Lund, Sweden, June 15-21, 1986 (1988) (0)
Preface [Special issue on interpolation, inequalities, invariants, operators, and related topics] (2010) (0)
A correction to the paper "A new approach in interpolation spaces" Studia Math. 34 (1970), pp. 23-42 (1977) (0)
A REPRODUCING FORMULA FOR VECTOR VALUED FUNCTIONS OVER A CARTAN DOMAIN (1993) (0)
Interpolation spaces and allied topics in analysis : proceedings of the conference held in Lund, Sweden, August 29-September 1, 1983 (1984) (0)
Applications of Mathematics (2003) (0)
Special issue on trilinear forms in Hilbert space and other topics (2006) (0)
Comparison of two kinds of Hankel type operators (1993) (0)
Paracommutators - briefiníroduction, open problems (1989) (0)
Neoclassical invariant theory - some lost theorems - a mathematical chat (2010) (0)
The Bellaterra connection (1993) (0)
Remarks on octonion modules I file: remoct.tex (2005) (0)
An integration problem For Jonathan, Fernando, Miroslav, Thomas, Hjalmar, Genkai and other friends, Reprint of 1996 version file: intprob.tex (2008) (0)
Preface [Special issue on trilinear forms in Hilbert space and other topics]. (2006) (0)
Errata-Corrige : “On the trace of potentials” (1976) (0)

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What Schools Are Affiliated With Jaak Peetre?

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