Hausdorff Operators Defined by Measures on p-Adic Linear Spaces and Their Norms

被引：0
|
作者：
Volosivets, S. S. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Fac Mech & Math, Astrakhanskaya Str 83, Saratov 410012, Russia
来源：
P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2015年 / 7卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
Hausdorff operator defined by a measure; p-adic Morrey space; p-adic Herz space; p-adic BMO space;
D O I：
10.1134/S2070046615030036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For Hausdorff operator defined by a measure on p-adic linear space Q(p)(n) we give the exact values for its norms in power type Morrey space, BMO(Q(p)(n)) and BLO(Q(p)(n)). Also we prove the sharp two-sided estimate for its norm in Herz space. These results generalize some previous results of the author.
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页码：238 / 244
页数：7
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