OPTIMAL EMBEDDINGS OF GENERALIZED INHOMOGENEOUS SOBOLEV SPACES ON Rn

被引：0
|
作者：
Ahmed, Irshaad [1 ]
Karadzhov, Georgi E. [2 ]
机构：
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore, Pakistan
[2] Bulgarian Acad Sci, Inst Math & Informat, Sofia, Bulgaria
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2011年 / 14卷 / 03期
关键词：
Sobolev inhomogeneous spaces; optimal embeddings; rearrangement invariant spaces; INEQUALITIES; SYMMETRIZATION; IMBEDDINGS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove optimal embeddings in the subcritical case of the inhomogeneous Sobolev spaces built-up over function spaces in R-n with K-monotone and rearrangement invariant norm into another rearrangement invariant function spaces. The investigation is based on pointwise and integral estimates of the rearrangement or the oscillation of the rearrangement of f in terms of the rearrangement of the derivatives of f.
引用
收藏
页码：737 / 745
页数：9
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