LITTLEWOOD-PALEY CHARACTERIZATION OF DISCRETE MORREY SPACES AND ITS APPLICATION TO THE DISCRETE MARTINGALE TRANSFORM

被引：0

作者：

Abe, Y. ^{[1
]}

Sawano, Y. ^{[1
]}

机构：

[1] Chuo Univ, Grad Sch Sci & Engn, 1-13-27 Kasuga,Bunkyo Ku, Tokyo 1128551, Japan

来源：

MATEMATICHE | 2023年 / 78卷 / 02期

关键词：

Littlewood-Paley theory; discrete Morrey spaces; Martingale transform;

D O I：

10.4418/2023.78.2.4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this paper is to develop the Littlewood-Paley theory of discrete Morrey spaces. As an application, we establish the boundedness of martingale transforms. We carefully justify the definition of martingale transforms, since discrete Morrey spaces do not contain discrete Lebesgue spaces as dense subspaces. We also obtain the boundedness of Riesz potentials.

引用

页码：335 / 356

页数：22

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