Boundedness of Hausdorff Operators on Hardy Spaces over Homogeneous Spaces of Lie Groups

被引：0
|
作者：
Mirotin, Adolf R. [1 ,2 ]
机构：
[1] Francisk Skorina Gomel State Univ, Dept Math & Programming Technol, Sovietskaya 104, Gomel 246019, BELARUS
[2] Southern Fed Univ, Reg Math Ctr, Rostov Na Donu, Russia
来源：
JOURNAL OF LIE THEORY | 2021年 / 31卷 / 04期
关键词：
Hausdorff operator; Lie group; homogeneous space; Hardy space; generalized shift operator of Delsarte;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this note is to give boundedness conditions for Hausdorff operators on Hardy spaces H-1 with the norm defined via (1, q) atoms over homogeneous spaces of Lie groups with doubling property and to apply the obtained results to generalized Delsarte operators and to Hausdorff operators over multidimensional spheres.
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页码：1015 / 1024
页数：10
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