EMBEDDINGS OF WEIGHTED SOBOLEV SPACES INTO SPACES OF CONTINUOUS-FUNCTIONS

被引：11

作者：

BROWN, RC ^{[1
]}

OPIC, B ^{[1
]}

机构：

[1] CZECHOSLOVAK ACAD SCI, INST MATH, CS-11567 PRAGUE 1, CZECHOSLOVAKIA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES | 1992年 / 439卷 / 1906期

关键词：

D O I：

10.1098/rspa.1992.0150

中图分类号：

学科分类号：

摘要：

We give sufficient conditions and necessary conditions (which in some cases are both necessary and sufficient) for continuous and compact embeddings of the weighted Sobolev space W1, p(OMEGA; v0, v1) into spaces of weighted continuous and Holder continuous functions. The theoretical results are illustrated by several examples.

引用

页码：279 / 296

页数：18

共 17 条

[1]

Adams R. A., 1975, SOBOLEV SPACES

[2]

BROWN RC, 1988, P LOND MATH SOC, V56, P261

[3] WEIGHTED INTERPOLATION INEQUALITIES AND EMBEDDINGS IN RN [J].

BROWN, RC ;

HINTON, DB .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1990, 42 (06) :959-980

[4] SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES [J].

EDMUNDS, DE ;

EVANS, WD .

QUARTERLY JOURNAL OF MATHEMATICS, 1979, 30 (120) :431-453

[5]

Edmunds DE., 1987, SPECTRAL THEORY DIFF

[6]

FRAENKEL LE, 1979, P LOND MATH SOC, V39, P385

[7]

GURKA P, 1988, CZECH MATH J, V38, P730

[8]

GURKA P, 1991, CZECH MATH J, V41, P317

[9]

GURKA P, 1989, CZECH MATH J, V39, P78

[10]

Kufner A., 1985, WEIGHTED SOBOLEV SPA

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