Higher-order Sobolev and Poincare inequalities in Orlicz spaces

被引：27

作者：

Cianchi, Andrea ^{[1
]}

机构：

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

来源：

FORUM MATHEMATICUM | 2006年 / 18卷 / 05期

关键词：

D O I：

10.1515/FORUM.2006.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal embeddings for Orlicz-Sobolev spaces of any order into Orlicz spaces and into general rearrangement invariant spaces are established. Related Poincare inequalities both for compactly supported functions and for arbitrary functions are also derived.

引用

页码：745 / 767

页数：23

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