Carleson-type maximal operators with variable kernels

DOI10.1007/S11401-013-0806-8zbMath1286.42028OpenAlexW2036665586MaRDI QIDQ2448446

Hong Hai Liu

Publication date: 30 April 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0806-8

zbMATH Keywords

spherical harmonicsMarkov inequalityCarleson operatorsSobolev spaces on sphere

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Cites Work

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• \(L^p\) boundedness of Carleson type maximal operators with nonsmooth kernels
• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• Oscillatory integrals related to Carleson's theorem
• Spherical harmonics
• On convergence and growth of partial sums of Fourier series
• Inequalities for strongly singular convolution operators
• Convergence almost everywhere of certain singular integrals and multiple Fourier series
• Weighted $L^{p}$ boundedness of Carleson type maximal operators
• On Singular Integrals
• On singular integrals with variable kernels
• Error estimates for scattered data interpolation on spheres
• Tangential Markov inequalities characterize algebraic submanifolds of R^n
• On a Problem of Mihlin

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