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.

引用

页数：17

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