Remarks on Littlewood-Paley functions and singular integrals

DOI10.2969/JMSJ/1191593909zbMath1029.42010OpenAlexW1970977886MaRDI QIDQ1396374

Shuichi Sato, Fan, Dashan

Publication date: 30 June 2003

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

Full work available at URL: https://doi.org/10.2969/jmsj/1191593909

zbMATH Keywords

singular integralboundednessLittlewood-Paley function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (11)

Sharp \(L^p\) boundedness for a class of square functions ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ Littlewood-Paley functions under sharp kernel conditions ⋮ ON THE MIXED RADIAL-ANGULAR INTEGRABILITY OF LITTLEWOOD-PALEY FUNCTIONS ⋮ A NOTE ON MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ⋮ On generalized Littlewood-Paley functions ⋮ Littlewood-Paley equivalence and homogeneous Fourier multipliers ⋮ \(L^{p}\) bounds for Marcinkiewicz integrals associated to surfaces of revolution ⋮ UMD Banach spaces and square functions associated with heat semigroups for Schrödinger, Hermite and Laguerre operators ⋮ Unnamed Item ⋮ Boundedness of Littlewood-Paley operators relative to non-isotropic dilations

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