Some weighted estimates for Littlewood–Paley functions and radial multipliers

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• 作者：Sato ; Shuichi
• 关键词：Littlewood&ndash ; Paley function ; Bochner&ndash ; Riesz means ; Spherical means ; Weighted Hardy space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2003
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：February 15, 2003
• 卷：278
• 期：2
• 页码：308-323
• 文件大小：151 K

摘要

We prove some weighted estimates for certain Littlewood&ndash;Paley operators on the weighted Hardy spaces H_w^p (0<p≤1) and on the weighted L^p spaces. We also prove some weighted estimates for the Bochner&ndash;Riesz operators and the spherical means.