Embedding of Sobolev space in Orlicz space for a domain with irregular boundary

被引：0

作者：

B. V. Trushin

机构：

[1] Moscow Institute of Physics and Technology,

来源：

Mathematical Notes | 2006年 / 79卷

关键词：

Sobolev space; Orlicz space; space of continuous functions; flexible σ-cone condition; integral operator; Lebesgue measure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we establish the embedding of a weighted Sobolev space in an Orlicz space for a domain with irregular boundary. We find an estimate of the order of growth of the N-function (defining the Orlicz space) and show that, under certain additional constraints on the weights, this estimate is sharp. We also establish the embedding in the space of continuous functions.

引用

页码：707 / 718

页数：11

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