Certain imbeddings of weighted Sobolev spaces

被引：0

作者：

Jain, P ^{[1
]}

Bansal, B

Jain, PK

机构：

[1] Univ Delhi, Deshbandhu Coll, Dept Math, New Delhi 110019, India

[2] Univ Delhi, Hindu Coll, Dept Math, Delhi 110007, India

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2003年 / 6卷 / 01期

关键词：

weighted Sobolev spaces; continuous imbedding; compact imbedding;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize weight functions for which the weighted Sobolev space W-1,W-P(Omega, d(M)(beta)) [and also W-1,W-p(Omega, s(0)(d(M)))] is imbedded continuously or compactly into the weighted Lebesgue space L-q(Omega, d(M)(alpha)) [and also L-q(Omega, s(1) (d(M)))] where 1 less than or equal to q < p < infinity and M subset of partial derivativeOmega. Some of the imbeddings are also extended to the higher order weighted Sobolev spaces.

引用

页码：105 / 120

页数：16

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