On the Boundedness of Hausdorff Operators in Block Space with Variable Exponent

In this paper, we prove the Hardy inequality, the Hilbert inequality and the Hardy-Littlewood-Pólya inequality on block spaces with variable exponents. Furthermore, we establish the boundedness of Hausdorff operators on block space with variable exponent.

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Publication Details

Journal
International Journal of Analysis and Applications
Published
2025-09-19
DOI
https://doi.org/10.28924/2291-8639-23-2025-226
Primary Topic
advanced mathematical theories
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Boundedness of Hausdorff Operators in Block Space with Variable Exponent

Mehvish Sultan, Ioan‐Lucian Popa, Babar Sultan
International Journal of Analysis and Applications
advanced mathematical theories
article

On the Boundedness of Hausdorff Operators in Block Space with Variable Exponent

Mehvish Sultan, Ioan‐Lucian Popa, Babar Sultan
article en

Abstract

In this paper, we prove the Hardy inequality, the Hilbert inequality and the Hardy-Littlewood-Pólya inequality on block spaces with variable exponents. Furthermore, we establish the boundedness of Hausdorff operators on block space with variable exponent.

International Journal of Analysis and ApplicationsVol. 23
Openalex Percentile: Top 68%
advanced mathematical theories
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On the Boundedness of Hausdorff Operators in Block Space with Variable Exponent — Mehvish Sultan, Ioan‐Lucian Popa, et al. · International Journal of Analysis and Applications (2025) | TGRS Research Map | TGRS