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

Salman Ashraf; Humberto Rafeiro

doi:10.1134/S2070046625010017

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

Salman Ashraf
, Humberto Rafeiro

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Abstract: In this paper, we introduce the concepts of central -block and block spaces over the -adic field. The duality and Fatou property of such spaces are examined. We also study mapping properties of -adic Hardy-Hilbert-type integral operators in the framework of such block spaces. As an application, we also establish -adic Hardy, Hilbert, and Hardy-Littlewood-Pólya inequalities for block spaces.

Original language	English
Article number	27
Pages (from-to)	1-15
Number of pages	15
Journal	P-Adic Numbers, Ultrametric Analysis, and Applications
Volume	17
Issue number	1
DOIs	https://doi.org/10.1134/S2070046625010017
Publication status	Published - Mar 2025

Keywords

-adic field
Morrey spaces
block spaces
integral operator

ASJC Scopus subject areas

General Mathematics

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10.1134/S2070046625010017

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abstract = "Abstract: In this paper, we introduce the concepts of central -block and block spaces over the -adic field. The duality and Fatou property of such spaces are examined. We also study mapping properties of -adic Hardy-Hilbert-type integral operators in the framework of such block spaces. As an application, we also establish -adic Hardy, Hilbert, and Hardy-Littlewood-P{\'o}lya inequalities for block spaces.",

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PY - 2025/3

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N2 - Abstract: In this paper, we introduce the concepts of central -block and block spaces over the -adic field. The duality and Fatou property of such spaces are examined. We also study mapping properties of -adic Hardy-Hilbert-type integral operators in the framework of such block spaces. As an application, we also establish -adic Hardy, Hilbert, and Hardy-Littlewood-Pólya inequalities for block spaces.

AB - Abstract: In this paper, we introduce the concepts of central -block and block spaces over the -adic field. The duality and Fatou property of such spaces are examined. We also study mapping properties of -adic Hardy-Hilbert-type integral operators in the framework of such block spaces. As an application, we also establish -adic Hardy, Hilbert, and Hardy-Littlewood-Pólya inequalities for block spaces.

KW - -adic field

KW - Morrey spaces

KW - block spaces

KW - integral operator

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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