Sobolev embeddings into spaces of Campanato, Morrey, and Holder type

被引：25

作者：

Cianchi, A

Pick, L

机构：

[1] Charles Univ, Fac Math & Phys, Dept Math Anal, Prague 18675 8, Czech Republic

[2] Univ Florence, Dipartimento Matemat & Applicaz Architettura, I-50122 Florence, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 282卷 / 01期

关键词：

generalized Camparato spaces; Morrey spaces; Holder spaces; Sobolev embeddings; rearrangement-invariant spaces; optimal domain;

D O I：

10.1016/S0022-247X(03)00110-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Necessary and sufficient conditions on a rearrangement-invariant Banach function space X (Q) on a cube Q in R-n, n greater than or equal to, 2, are given for the corresponding Sobolev space W-1 X (Q) to be continuously embedded into (generalized) Campanato, Morrey, or Holder spaces. The optimal such r.i. spaces X(Q) are found. As a by-product, sharp inclusion relations are proved among Campanato, Morrey, and Holder type spaces. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：128 / 150

页数：23

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