Variable Herz–Morrey estimates for rough fractional Hausdorff operator

As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 33 - 14
Main Authors Hussain, Amjad, Khan, Ilyas, Mohamed, Abdullah
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 12.03.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Boundedness
Function space
Hausdorff operator
Herz-type spaces
Mathematics
Mathematics and Statistics
Partial differential equations
Rough kernel
Variable exponent
Rough kernel
42B35
26D10
47G10
Boundedness
Herz-type spaces
Hausdorff operator
Variable exponent
26D15
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Summary:As a first attempt, we obtain the boundedness of the rough fractional Hausdorff operator on variable exponent Herz-type spaces. The method used in this paper enables us to study the operator on some other function spaces with variable exponents.
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/s13660-024-03110-8