Weighted Hardy and Potential Operators in Morrey Spaces
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-09
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We study the weighted p→q-boundedness of Hardy-type operators in Morrey spaces ℒp,λ(ℝn) (or ℒp,λ(ℝ+1) in the one-dimensional case) for a class of almost monotonic weights.
The obtained results are applied to a similar weighted p→q-boundedness of the Riesz potential operator.
The conditions on weights, both for the Hardy and potential operators, are necessary and sufficient in the case of power weights.
In the case of more general weights, we provide separately necessary and sufficient conditions in terms of Matuszewska-Orlicz indices of weights.
American Psychological Association (APA)
Samko, Natasha. 2012. Weighted Hardy and Potential Operators in Morrey Spaces. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-489741
Modern Language Association (MLA)
Samko, Natasha. Weighted Hardy and Potential Operators in Morrey Spaces. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-489741
American Medical Association (AMA)
Samko, Natasha. Weighted Hardy and Potential Operators in Morrey Spaces. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-489741
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489741