HAUSDORFF OPERATORS OVER DOUBLE COSET SPACES OF GROUPS WITH LOCALLY DOUBLING PROPERTY

被引：0

作者：

Mirotin A.R. ^{[1
,2
]}

机构：

[1] Department of Mathematics and Programming Technologies, Francisk Skorina Gomel State University, Gomel

[2] Regional Mathematical Center, Southern Federal University, Rostov-on-Don

来源：

Journal of Mathematical Sciences | 2022年 / 266卷 / 6期

关键词：

Double coset space; Hardy space; Hausdorff operator; Locally compact group; Locally doubling property;

D O I：

10.1007/s10958-022-06174-3

中图分类号：

学科分类号：

摘要：

We consider the boundedness of Hausdorff operators on the real Hardy spaces H1 over double coset spaces of locally compact groups with the local doubling property and approximate midpoint property. The Lq spaces as well as the example of the group of Euclidean motions are also considered. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

引用

页码：933 / 943

页数：10

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