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：
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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.
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页码：707 / 718
页数：11
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