Multidimensional Hausdorff Operator on p-Adic Field

被引：0
|
作者：
Volosivets, S. S. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Fac Mech & Math, Astrakhanskaya Str 83, Saratov 410028, Russia
来源：
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2010年 / 2卷 / 03期
关键词：
Hausdorff operator; p-adic Hardy space; p-adic BMO space; p-adic Fourier transform; Titchmarsh-type theorem;
D O I：
10.1134/S2070046610030076
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
p-Adic analogs of Hausdorff operator are introduced. Sufficient conditions of its boundedness in p-adic Hardy and BMO spaces are given. The Titchmarsh-type theorem about commuting relations between Hausdorff operator, its conjugate and p-adic Fourier transform is established.
引用
收藏
页码：252 / 259
页数：8
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