p-Adic Hardy-Hilbert-Type Integral Operators on Block Spaces

被引:0
作者
Ashraf, Salman [1 ]
Rafeiro, Humberto [2 ]
机构
[1] Univ Petr & Energy Studies UPES, Dept Math, Appl Sci Cluster, Dehra Dun 248007, Uttarakhand, India
[2] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
关键词
p-adic field; integral operator; block spaces; Morrey spaces; HAUSDORFF OPERATORS; MORREY SPACES; INEQUALITIES; WAVELETS;
D O I
10.1134/S2070046625010017
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the concepts of central(r, alpha)-block and block spacesB(r,alpha)(Q(p))over thep-adic field. The duality and Fatou property of such spaces are examined. We alsostudy mapping properties ofp-adic Hardy-Hilbert-type integral operators in the framework of suchblock spaces. As an application, we also establish p-adic Hardy, Hilbert, and Hardy-Littlewood-P olya inequalities for block spaces
引用
收藏
页码:1 / 15
页数:15
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