Symmetrization inequalities and Sobolev embeddings

被引：30

作者：

Martin, J ^{[1
]}

Milman, M

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

[2] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 08期

关键词：

symmetrization; Besov spaces; Sobolev spaces; rearrangement invariant spaces;

D O I：

10.1090/S0002-9939-06-08277-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove new extended forms of the Polya-Szego symmetrization principle. As a consequence new sharp embedding theorems for generalized Besov spaces are proved, including a sharpening of the limiting cases of the classical Sobolev embedding theorem. In particular, a surprising self-improving property of certain Sobolev embeddings is uncovered.

引用

页码：2335 / 2347

页数：13

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