Some weighted estimates for Littlewood--Paley functions and radial multipliers.
type: Item
instance of: scholarly article
title: Some weighted estimates for Littlewood--Paley functions and radial multipliers.
zbMATH Open document ID: 1049.42011
DOI: 10.1016/S0022-247X(02)00393-1
author: Shuichi Sato
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: In the paper are considered certain Littlewood-Paley operators obtained by replacing the Euclidean norm \(| \xi| \) by some smooth function \(\rho(\xi)\). The author proves some weighted estimates for such Littlewood-Paley operators on weighted Hardy spaces \(H_w^p\) \((0<p\leq1)\) and on weighted \(L_w^p\) spaces. He also obtains some weighted estimates for the Bochner-Riesz operators and the spherical means.
reviewed by: Amiran Gogatishvili
Mathematics Subject Classification ID: 42B25
Mathematics Subject Classification ID: 42B15
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 42B30
zbMATH DE Number: 1915711
zbMATH Keywords: Littlewood-Paley function
zbMATH Keywords: Bochner-Riesz means
zbMATH Keywords: spherical means
zbMATH Keywords: weighted Hardy space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915711