Weighted Variable Sobolev Spaces and Capacity
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-26
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We define weighted variable Sobolev capacity and discuss properties of capacity in the space W1,p(·)(ℝn,w).
We investigate the role of capacity in the pointwise definition of functions in this space if the Hardy-Littlewood maximal operator is bounded on the space W1,p(·)(ℝn,w).
Also it is shown the relation between the Sobolev capacity and Bessel capacity.
American Psychological Association (APA)
Aydin, Ismail. 2011. Weighted Variable Sobolev Spaces and Capacity. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-994187
Modern Language Association (MLA)
Aydin, Ismail. Weighted Variable Sobolev Spaces and Capacity. Journal of Function Spaces No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-994187
American Medical Association (AMA)
Aydin, Ismail. Weighted Variable Sobolev Spaces and Capacity. Journal of Function Spaces. 2011. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-994187
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994187