Weighted Variable Sobolev Spaces and Capacity

被引：32
|
作者：
Aydin, Ismail [1 ]
机构：
[1] Sinop Univ, Fac Arts & Sci, Dept Math, TR-57000 Sinop, Turkey
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年
关键词：
NORM INEQUALITIES; LEBESGUE SPACES; EXPONENT; OPERATORS;
D O I：
10.1155/2012/132690
中图分类号：
学科分类号：
摘要：
We define weighted variable Sobolev capacity and discuss properties of capacity in the space W-1,W-p(.) (R-n,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 W-1,W-p(.) (R-n,w). Also it is shown the relation between the Sobolev capacity and Bessel capacity.
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页数：17
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