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Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces
Joint Authors
Lukkassen, Dag
Wall, Peter
Samko, Stefan
Persson, Lars-Erik
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the p·→q· boundedness of weighted multidimensional Hardy-type operators Hwα· and ℋwα· of variable order αx, with radial weight wx, from a variable exponent locally generalized Morrey space ℒp·,φ·ℝn,w to another ℒq·,ψ·ℝn,w.
The exponents are assumed to satisfy the decay condition at the origin and infinity.
We construct certain functions, defined by p, α, and φ, the belongness of which to the resulting space ℒq·,ψ·ℝn,w is sufficient for such a boundedness.
Under additional assumptions on φ/w, this condition is also necessary.
We also give the boundedness conditions in terms of Zygmund-type integral inequalities for the functions φ and φ/w.
American Psychological Association (APA)
Lukkassen, Dag& Persson, Lars-Erik& Samko, Stefan& Wall, Peter. 2013. Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-492861
Modern Language Association (MLA)
Lukkassen, Dag…[et al.]. Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-492861
American Medical Association (AMA)
Lukkassen, Dag& Persson, Lars-Erik& Samko, Stefan& Wall, Peter. Weighted Hardy-Type Inequalities in Variable Exponent Morrey-Type Spaces. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-492861
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-492861