Multiple Hilbert transforms associated with polynomials

DOI10.1090/memo/1119zbMath1330.42003arXiv1302.1654OpenAlexW2963955421MaRDI QIDQ2944988

Joonil Kim

Publication date: 9 September 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1654

zbMATH Keywords

polynomialsNewton polyhedronoscillatory singular integralmultiple Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (2)

Real analytic multi-parameter singular Radon transforms: Necessity of the Stein-Street condition ⋮ Sublevel-set estimates over global domains

Cites Work

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• Multi-parameter singular Radon transforms. I: The \(L^2\) theory
• Singular integrals with flag kernels on homogeneous groups, I
• Triple Hilbert transforms along polynomial surfaces in \(\mathbb{R}^4\)
• Multi-parameter singular Radon transforms III: Real analytic surfaces
• Maximal averages over linear and monomial polyhedra
• Singular integrals and the Newton diagram
• Multiparameter singular integrals and maximal operators along flat surfaces
• Multiparameter singular integrals and maximal functions
• Newton polyhedra and estimation of oscillating integrals
• The Newton polyhedron and oscillatory integral operators
• Singular and maximal Radon transforms: Analysis and geometry
• Double Hilbert transforms along polynomial surfaces in \(\mathbb{R}^3\)
• Multi-parameter singular Radon transforms
• Triple Hilbert transforms along polynomial surfaces
• Introduction to Toric Varieties. (AM-131)
• DOUBLE HILBERT TRANSFORMS ALONG POLYNOMIAL SURFACES IN R³
• L 2 Boundedness of Hilbert Transforms Along Surfaces and Convolution Operators Homogeneous with Respect to a Multiple Parameter Group
• Problems in harmonic analysis related to curvature
• Singular integral operators associated to curves with rational components
• Double Hilbert transform along real-analytic surfaces in ℝ ^{d +2}
• Singular integrals with flag kernels and analysis on quadratic CR manifolds

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