DOI10.2307/1971330zbMath0593.43011OpenAlexW2328859279WikidataQ60961608 ScholiaQ60961608MaRDI QIDQ1076273
Michael Christ
Publication date: 1985
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1971330
Weighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneity ⋮
Optional regularity of fourier integral operators with one-sided folds ⋮
\(L^2\) Estimates of trilinear oscillatory integrals of convolution type on \(\mathbb{R}^2\) ⋮
Hilbert integrals, singular integrals, and Radon transforms. I ⋮
The \(L^{p} \rightarrow L^{q}\) estimates for degenerate Radon transforms in \(\mathbb{C}^2\) ⋮
The asymptotic behavior of degenerate oscillatory integrals in two dimensions ⋮
Riesz transforms on groups of Heisenberg type ⋮
Polynomial growth estimates for multilinear singular integral operators ⋮
Harmonic analysis on nilpotent groups and singular integrals. II: Singular kernels supported on submanifolds ⋮
On restricted families of projections in ℝ3 ⋮
Maximal operators related to the Radon transform and the Calderon-Zygmund method of rotations ⋮
Weak (1,1) bounds for oscillatory singular integrals ⋮
Uniform bounds for oscillatory and polynomial Carleson operators ⋮
Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves ⋮
Hilbert transforms along curves. II: A flat case ⋮
About Riesz transforms on the Heisenberg groups ⋮
The circular maximal operator on Heisenberg radial functions ⋮
Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions ⋮
Polynomial sequences in discrete nilpotent groups of step 2 ⋮
A Euclidean Fourier‐analytic approach to vertical projections in the Heisenberg group ⋮
A new plurisubharmonic capacity and functions holomorphic along holomorphic vector fields ⋮
The polynomial Carleson operator ⋮
Lacunary maximal functions on homogeneous groups ⋮
Polynomial averages and pointwise ergodic theorems on nilpotent groups ⋮
A unified approach to three themes in harmonic analysis. I \& II: I. The linear Hilbert transform and maximal operator along variable curves. II Carleson type operators in the presence of curvature ⋮
An a.e. lower bound for Hausdorff dimension under vertical projections in the Heisenberg group ⋮
Weak type (1,1) bounds for rough operators. II ⋮
Analysis and applications: The mathematical work of Elias Stein ⋮
Singular integrals on product homogeneous groups ⋮
Projection and slicing theorems in Heisenberg groups ⋮
Metrics and smoothing of translation-invariant Radon transforms along curves. ⋮
Smooth and singular maximal averages over 2D hypersurfaces and associated Radon transforms ⋮
Stability of oscillatory integral asymptotics in two dimensions ⋮
Endpoint bounds for an analytic family of Hilbert transforms ⋮
An existence and uniqueness result for the Navier-Stokes type equations on the Heisenberg group ⋮
Singular integrals supported by submanifolds ⋮
Polynomial Carleson operators along monomial curves in the plane ⋮
Pseudodifferential operators on groups with dilations ⋮
Multiparameter singular integrals and maximal functions ⋮
Revisiting Riesz transforms on Heisenberg groups ⋮
\(L^p\) estimates for singular Radon transforms with rough kernels ⋮
Two endpoint bounds for generalized Radon transforms in the plane ⋮
Oscillatory integral decay, sublevel set growth, and the Newton polyhedron ⋮
On averaging operators associated with convex hypersurfaces of finite type ⋮
Estimates for Fourier transforms of surface measures in \(\mathbb{R}^3\) and PDE applications ⋮
Meromorphy of local zeta functions in smooth model cases ⋮
Fourier transforms of indicator functions, lattice point discrepancy, and the stability of integrals ⋮
Gelfand pairs, \(K\)-spherical means and injectivity on the Heisenberg group ⋮
Singular integral operators with kernels associated to negative powers of real-analytic functions ⋮
Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods ⋮
A bilinear oscillatory integral along parabolas ⋮
Maximal averages over hypersurfaces and the Newton polyhedron ⋮
Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds ⋮
A method for proving \(L^p\)-boundedness of singular Radon transforms in codimension 1 ⋮
\(L^p\)-estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group ⋮
Maximal singular integral operators along surfaces ⋮
L\({}^ p\) harmonic analysis and Radon transforms on the Heisenberg group
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