Boundedness of sublinear operators on two-weighted grand Herz spaces with variable exponent

In this article, we introduce the concept of two-weighted grand variable Herz spaces as a natural generalization of variable Herz spaces. We establish the boundedness of sublinear operators within this framework, offering significant insights into their functional behavior. Our findings, incorporati...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2025; no. 1; pp. 28 - 16
Main Author Nafis, Hammad
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 04.03.2025
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Grand spaces
Harmonic analysis
Herz spaces
Mathematical functions
Mathematics
Mathematics and Statistics
Operators
Partial differential equations
Sublinear operators
Variable exponent spaces
Herz spaces
Sublinear operators
Grand spaces
Variable exponent spaces
46E30
47B35
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Summary:In this article, we introduce the concept of two-weighted grand variable Herz spaces as a natural generalization of variable Herz spaces. We establish the boundedness of sublinear operators within this framework, offering significant insights into their functional behavior. Our findings, incorporating additional weight factors, broaden the scope and applicability of our results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-025-03273-y