Some weighted estimates for Littlewood--Paley functions and radial multipliers.

DOI10.1016/S0022-247X(02)00393-1zbMath1049.42011MaRDI QIDQ1874552

Shuichi Sato

Publication date: 25 May 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spherical meansLittlewood-Paley functionBochner-Riesz meansweighted Hardy space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30)

Related Items (5)

Sublinear operators on mixed-norm Hardy spaces with variable exponents ⋮ Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ Hardy space estimates for limited ranges of Muckenhoupt weights ⋮ On radial Fourier multipliers and almost everywhere convergence ⋮ Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents

Cites Work

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• Weighted boundedness for a class of rough Marcinkiewicz integrals
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• Marcinkiewicz integral on Hardy spaces

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