\(L^p\) boundedness for singular integrals with rough kernels on product domains

DOI10.14492/HOKMJ/1350911903zbMath1027.42012OpenAlexW2752370521MaRDI QIDQ1860913

Pan, Yibiao, Hussain M. Al-Qassem

Publication date: 13 January 2004

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1350911903

zbMATH Keywords

boundednesssingular integral operatorproduct domainblock spacetruncated maximal singular integrals

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) Integral operators (47G10)

Related Items (14)

MAXIMAL FUNCTIONS ALONG TWISTED SURFACES ON PRODUCT DOMAINS ⋮ Multiple singular integrals and maximal operators related to homogeneous mappings ⋮ Singular integral operators with kernels supported in higher dimensional subvarieties ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ Singular integral operators supported in higher dimensional surfaces ⋮ \(L^p\) bounds for singular integrals with rough kernels on product domains ⋮ On singular integrals and maximal operators along surfaces of revolution on product domains ⋮ L^p boundedness for maximal singular integrals with mixed homogeneity along compounds curves ⋮ Unnamed Item ⋮ Singular integrals on product homogeneous groups ⋮ On multiple singular integrals along polynomial curves with rough kernels ⋮ A class of maximal operators related to rough singular integrals on product spaces ⋮ Singular integral operators on product domains along twisted surfaces ⋮ \(L^p\) estimates for maximal functions along surfaces of revolution on product spaces

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