Orlicz-Sobolev boundary trace embeddings

被引：26

作者：

Cianchi, Andrea ^{[1
]}

机构：

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

来源：

MATHEMATISCHE ZEITSCHRIFT | 2010年 / 266卷 / 02期

关键词：

Orlicz-Sobolev spaces; Trace inequalities; Rearrangement invariant spaces; SPACES; INEQUALITIES; THEOREM;

D O I：

10.1007/s00209-009-0578-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a sharp trace embedding theorem for Orlicz-Sobolev spaces into Orlicz spaces on the boundary. An optimal trace embedding into more general rearrangement invariant spaces on the boundary is also established.

引用

页码：431 / 449

页数：19

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