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.
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页码：2335 / 2347
页数：13
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