Sobolev type inequalities for rearrangement invariant spaces

被引：0

作者：

Guillermo P. Curbera

Werner J. Ricker

机构：

[1] Universidad de Sevilla,Facultad de Matemáticas

[2] Katholische Universität Eichstätt-Ingolstadt,Math.

来源：

Positivity | 2011年 / 15卷

关键词：

Sobolev inequality; Rearrangement invariant space; 46E35; 46E30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the setting of rearrangement invariant spaces, optimal Sobolev inequalities (via the gradient) are well understood. By means of an alternative functional, we obtain new Sobolev inequalities which are finer than (and not necessarily equivalent to) the ones mentioned above.

引用

页码：553 / 570

页数：17

共 17 条

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