#50,689

Most Influential Person

American mathematician

According to Wikipedia, Francis Michael Christ is an American mathematician and professor at University of California, Berkeley, specializing in harmonic analysis, partial differential equations, and several complex variables. He is known for the Christ–Kiselev maximal inequality.

- A T(b) theorem with remarks on analytic capacity and the Cauchy integral (1990) (708)
- The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals (2005) (229)
- Lectures on singular integral operators (1991) (228)
- Weak Type (1, 1) Bounds for Rough Operators (1988) (213)
- Ill-posedness for nonlinear Schrodinger and wave equations (2003) (202)
- Polynomial growth estimates for multilinear singular integral operators (1987) (172)
- Singular and maximal Radon transforms: analysis and geometry (1999) (143)
- Multidimensional van der Corput and sublevel set estimates (1999) (134)
- Best constants for two nonconvolution inequalities (1995) (125)
- bounds for spectral multipliers on nilpotent groups (1991) (122)
- On the restriction of the Fourier transform to curves: endpoint results and the degenerate case (1985) (119)
- Global ^{∞} irregularity of the ∂-Neumann problem for worm domains (1996) (109)
- Hilbert transforms along curves I. Nilpotent groups (1985) (108)
- Nilpotent Group C*-algebras as Compact Quantum Metric Spaces (2002) (104)
- Finite bounds for Hölder-Brascamp-Lieb multilinear inequalities (2005) (102)
- Weak type (1, 1) bounds for rough operators, II (1988) (87)
- Convolution, curvature, and combinatorics: a case study (1998) (87)
- Ü BOUNDS FOR SPECTRAL MULTIPLIERS ON NILPOTENT GROUPS (2009) (85)
- Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations (1986) (77)
- POWER SERIES SOLUTION OF A NONLINEAR SCHR ¨ ODINGER EQUATION (2005) (70)
- Weak (1,1) bounds for oscillatory singular integrals (1987) (68)
- Pseudodifferential operators on groups with dilations (1992) (65)
- A priori bounds and weak solutions for the nonlinear Schr (2006) (63)
- Existence of Extremals for a Fourier Restriction Inequality (2010) (63)
- Operators associated to flat plane curves: $L^p$ estimates via dilation methods (1989) (62)
- Regularity Properties of the ∂ b Equation on Weakly Pseudoconvex CR Manifolds of Dimension 3 (1988) (61)
- Communication lower bounds and optimal algorithms for programs that reference arrays - Part 1 (2013) (60)
- Counterexamples to analytic hypoellipticity for domains of finite type (1992) (53)
- On multilinear oscillatory integrals, nonsingular and singular (2003) (52)
- On the $$\bar \partial $$ equation in weightedL2 norms in ℂ1equation in weightedL2 norms in ℂ1 (1991) (52)
- Singular integral characterizations of Hardy spaces on homogeneous groups (1984) (52)
- Certain sums of Squares of Vector Fields Fail to be Analytic Hypoelliptic (1991) (48)
- On the extremizers of an adjoint Fourier restriction inequality (2010) (47)
- OnLp spectral multipliers for a solvable lie group (1996) (46)
- Hypoellipticity in the infinitely degenerate regime (2001) (42)
- $L^p $ estimates for maximal functions and Hilbert transforms along flat convex curves in ${\mathbf{R}}^2 $ (1986) (40)
- Regularity properties of the \overline∂_{} equation on weakly pseudoconvex CR manifolds of dimension 3 (1988) (38)
- A sharpened Hausdorff-Young inequality (2014) (37)
- The extension problem for certain function spaces involving fractional orders of differentiability (1984) (35)
- A note on weighted norm inequalities for the Hardy-Littlewood maximal operator (1983) (35)
- Instability of the periodic nonlinear Schrodinger equation (2003) (34)
- Weak Type Endpoint Bounds for Bochner-Riesz Multipliers (1987) (32)
- Gaussians Rarely Extremize Adjoint Fourier Restriction Inequalities For Paraboloids (2010) (31)
- Intermediate optimal gevrey exponents occur (1996) (28)
- The Szegö projection need not preserve global analyticity (1996) (27)
- A Necessary Condition For Analytic Hypoellipticity (1994) (27)
- QUASIEXTREMALS FOR A RADON-LIKE TRANSFORM (2011) (27)
- Inversion in Some Algebras of Singular Integral Operators (1988) (26)
- A remark on singular Calderón-Zygmund theory (1987) (26)
- The strong maximal function on a nilpotent group (1992) (25)
- Vector ₂ weights and a Hardy-Littlewood maximal function (2001) (25)
- Near Equality in the Brunn-Minkowski Inequality (2012) (24)
- Analytic hypoellipticity breaks down for weakly pseudoconvex Reinhardt domains (1991) (24)
- Extremizers of a Radon transform inequality (2011) (24)
- Near-extremizers of Young's Inequality for R^d (2011) (24)
- Necessary conditions for vector‐valued operator inequalities in harmonic analysis (2005) (22)
- Mixed norm estimates for a restricted X-ray transform (2002) (21)
- HYPOELLIPTICITY OF THE KOHN LAPLACIAN FOR THREE-DIMENSIONAL TUBULAR CAUCHY–RIEMANN STRUCTURES (2002) (21)
- Hilbert transforms along curves, II: A flat case (1985) (20)
- Maximal functions associated with Fourier multipliers of Mikhlin-Hörmander type (2003) (20)
- On the regularity of inverses of singular integral operators (1988) (20)
- Near equality in the two-dimensional Brunn-Minkowski inequality (2012) (20)
- Nonuniqueness of weak solutions of the nonlinear Schroedinger equation (2005) (19)
- A sharpened Riesz-Sobolev inequality (2017) (19)
- An Approximate Inverse Riesz-Sobolev Inequality (2011) (18)
- Some non-analytic-hypoelliptic sums of squares of vector fields (1992) (18)
- ON CERTAIN ELEMENTARY TRILINEAR OPERATORS (2001) (18)
- Analytic hypoellipticity, representations of nilpotent groups, and a nonlinear eigenvalue problem (1993) (17)
- A Convolution Inequality Concerning Cantor-Lebesgue Measures. (1985) (17)
- Upper bounds for Bergman kernels associated to positive line bundles with smooth Hermitian metrics (2013) (16)
- On extremals for a Radon-like transform (2011) (15)
- On Trilinear Oscillatory Integrals (2011) (14)
- Global analytic hypoellipticity in the presence of symmetry (1994) (14)
- Near-extremizers of Young's inequality for discrete groups (2011) (14)
- Near Equality in the Riesz-Sobolev Inequality (2013) (14)
- Hypoellipticity: Geometrization and speculation (1998) (14)
- Weighted norm inequalities and Schur's Lemma (1984) (13)
- Embedding compact three-dimensional CR manifolds of finite type in $\mathbf{C}^n$ (1989) (13)
- LP ESTIMATES FOR MAXIMAL FUNCTIONS AND HILBERT TRANSFORMS ALONG FLAT CONVEX CURVES IN R (2007) (13)
- Remarks on Global Irregularity in the @{Neumann Problem (1999) (12)
- On Holder-Brascamp-Lieb inequalities for torsion-free discrete Abelian groups (2015) (11)
- L(p) Estimates for Maximal Functions and Hilbert-Transforms Along Flat Convex Curves in R(2) (2013) (11)
- Bounds For Multilinear Sublevel Sets Via Szemeredi's Theorem (2011) (11)
- LEBESGUE SPACE BOUNDS FOR ONE-DIMENSIONAL GENERALIZED RADON TRANSFORMS (2008) (10)
- On random multilinear operator inequalities (2011) (10)
- A remark on sums of squares of complex vector fields (2005) (10)
- Examples of analytic non-hypoellipticity of ∂b (1994) (10)
- Sharp Hardy–Littlewood–Sobolev inequalities on the octonionic Heisenberg group (2014) (9)
- Remarks on the Breakdown of Analyticity for ∂ b and Szegö Kernels (1991) (9)
- Sharp Hardy-Littlewood-Sobolev Inequalities on Quaternionic Heisenberg Groups (2014) (9)
- On Trilinear Oscillatory Integral Inequalities and Related Topics (2020) (9)
- Cases of equality in certain multilinear inequalities of Hardy-Riesz-Brascamp-Lieb-Luttinger type (2013) (9)
- Trilinear smoothing inequalities and a variant of the triangular Hilbert transform. (2020) (9)
- Examples of singular maximal functions unbounded on Lp (1991) (9)
- A class of hypoelliptic PDE admitting nonanalytic solutions (1992) (8)
- A weak type (1,1) inequality for maximal averages over certain sparse sequences (2011) (8)
- Off-diagonal decay of Bergman kernels: On a conjecture of Zelditch (2013) (8)
- Mixed norm estimates for certain generalized Radon transforms (2005) (8)
- Examples pertaining to Gevrey hypoellipticity (1997) (8)
- Multilinear Oscillatory Integrals Via Reduction of Dimension (2011) (8)
- LOCAL SOLVABILITY FOR A CLASS OF PARTIAL DIFFERENTIAL OPERATORS WITH DOUBLE CHARACTERISTICS (1995) (8)
- Endpoint Lebesgue estimates for weighted averages on polynomial curves (2017) (7)
- Analytic hypoellipticity in dimension two (1996) (7)
- Smoothness of extremizers of a convolution inequality (2010) (7)
- Inequalities of Riesz-Sobolev type for compact connected Abelian groups (2018) (7)
- Analytic Capacity and the Cauchy Integral (1991) (7)
- Pointwise estimates for the relative fundamental solution of ∂b (1988) (7)
- Infinite dimensional families of locally nonsolvable partial differential operators (1995) (6)
- Pointwise estimates for the relative fundamental solution of \overline∂_{} (1988) (6)
- On local and global analytic and Gevrey hypoellipticity (1995) (5)
- Near-extremizers of Young’s inequality for Euclidean groups (2019) (5)
- 6. Nonexistence of Invariant Analytic Hypoelliptic Differential Operators on Nilpotent Groups of Step Greater than Two (1995) (5)
- The optimal constants in Holder-Brascamp-Lieb inequalities for discrete Abelian groups (2013) (5)
- HARDY-LITTLEWOOD MAXIMAL OPERATOR (2016) (5)
- A three term sublevel set inequality (2022) (4)
- Equality in Brascamp-Lieb-Luttinger Inequalities (2017) (4)
- Subsets of Euclidean Space with Nearly Maximal Gowers Norms (2015) (4)
- On the equation and Szegö projection on CR manifolds (1989) (4)
- On an extremization problem concerning Fourier coefficients (2015) (4)
- Pointwise convergence of certain continuous-time double ergodic averages (2020) (4)
- Maximizers of Rogers-Brascamp-Lieb-Luttinger functionals in higher dimensions (2017) (4)
- A triangular Hilbert transform with curvature (2020) (3)
- Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation (2009) (3)
- SPIRALING AND NONHYPOELLIPTICITY FOR CR STRUCTURES DEGENERATE ALONG TRANSVERSE REAL CURVES (2000) (3)
- On the $L^1$ behavior of eigenfunction expansions and singular integral operators (1987) (3)
- Near equality in the Riesz-Sobolev inequality in higher dimensions (2015) (3)
- Chapter Five. Extremizers of a Radon Transform Inequality (2014) (3)
- Estimates for fundamental solutions of second-order subelliptic differential operators (1989) (3)
- A family of degenerate differential operators (1993) (3)
- A class of singular bilinear maximal functions (2022) (3)
- Global endpoint Strichartz estimates for Schrödinger equations on the cylinder R×T (2021) (3)
- REMARKS ON ANALYTIC HYPOELLIPTICITY OF ∂̅b (1996) (2)
- Off-Diagonal Decay of Bergman Kernels: On a Question of Zelditch (2013) (2)
- On Young's inequality for Heisenberg groups (2017) (2)
- Characterization of $H^1$ by singular integrals: Necessary conditions (1984) (2)
- Global Irregularity for Mildly Degenerate Elliptic Operators (1995) (2)
- On Analytic Solvability and Hypoellipticity For $\dbar$ and $\dbar_b (1995) (1)
- On nearly radial product functions (2015) (1)
- Spiraling and nonhypoellipticity (2001) (1)
- On implicitly oscillatory quadrilinear integrals (2022) (1)
- Global $C^\nf$ Irregularity of the $\bar\partial$--Neumann Problem for Worm Domains (1995) (1)
- Global Irregularity For Degenerate Elliptic Operators (1995) (0)
- On an apparently bilinear inequality for the Fourier transform (2015) (0)
- On analytic solvability and hypoellipticity for $\overline{\partial }$ and $\overline{\partial }_b$ (1997) (0)
- Ü BOUNDS FOR SPECTRAL MULTIPLIERS ON NILPOTENT (2009) (0)
- NONUNIQUENESS OF GENERALIZED SOLUTIONS OF THE NAVIER-STOKES EQUATION (2005) (0)
- A symmetrization inequality shorn of symmetry (2018) (0)
- HYPOELLIPTICITY OF THE KOHN LAPLACIAN FOR THREE-DIMENSIONAL TUBULAR CR STRUCTURES (2005) (0)
- On Young’s Convolution Inequality for Heisenberg Groups (2021) (0)
- Modulation invariant and multilinear singular integral operators (2006) (0)
- IMPLICITLY OSCILLATORY MULTILINEAR INTEGRALS FIRST ENCOUNTERS WITH THE FIFTH KIND (2022) (0)
- Global endpoint Strichartz estimates for Schr\"odinger equations on the cylinder $\mathbb{R}\times\mathbb{T}$ (2020) (0)
- Inverses of Singular Integral Operators (1991) (0)
- Remarks on Global Irregularity in the d-bar-Neumann Problem (1999) (0)
- Examples of H\"older-stable Phase Retrieval (2022) (0)
- Modulation Invariant and Multilinear Singular Integral Operators [after Lacey and Thiele] (2006) (0)
- BOUNDS FOR MULTILINEAR SUBLEVEL SETS (2008) (0)
- Temporal Regularity for Random Walk on Discrete Nilpotent Groups (2020) (0)

This paper list is powered by the following services:

F. Michael Christ is affiliated with the following schools:

This website uses cookies to enhance the user experience. Read the Privacy Policy for more.

Subscribe To Newsletter?Yes!