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

页码：252 / 259

页数：8

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