关于C_{0;\gamma}域上定义的SOBOLEV-MORREY-CAMPANATO空间的注释

IF 0.6 Q3 MATHEMATICS

Eurasian Mathematical Journal Pub Date : 2020-01-31 DOI:10.32523/2077-9879-2019-10-4-47-62

P. D. Lamberti, V. Vespri

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引用次数: 1

摘要

我们讨论了一些关于Campanato和Sobolev-Morrey空间的嵌入定理的旧结果，这些结果使公式适用于$C^{0，\gamma}$这类域的情况，并给出了在这些域上定义的Sobolev-Morrey空间的函数扩展的最新结果。作为可拓定理的一个推论，我们得到了任意$C^{0，\gamma}$定义域上Sobolev-Morrey空间的嵌入定理。

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REMARKS ON SOBOLEV-MORREY-CAMPANATO SPACES DEFINED ON C_{0;\gamma} DOMAINS

We discuss a few old results concerning embedding theorems for Campanato and Sobolev-Morrey spaces adapting the formulations to the case of domains of class $C^{0,\gamma}$, and we present more recent results concerning the extension of functions from Sobolev-Morrey spaces defined on those domains. As a corollary of the extension theorem we obtain an embedding theorem for Sobolev-Morrey spaces on arbitrary $C^{0,\gamma}$ domains.

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来源期刊

Eurasian Mathematical Journal MATHEMATICS-

CiteScore

1.70

自引率

50.00%

发文量

期刊介绍： Publication of carefully selected original research papers in all areas of mathematics written by mathematicians first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Mathematical Journal will also publish survey papers.