Rearrangement transformations on general measure spaces

被引：2

作者：

Boza, Santiago ^{[1
]}

Soria, Javier ^{[2
]}

机构：

[1] Univ Politecn Cataluna, EPSEVG, Dept Appl Math 4, E-08880 Vilanova I La Geltru, Spain

[2] Univ Barcelona, Dept Appl Math & Anal, E-08007 Barcelona, Spain

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2008年 / 19卷 / 01期

关键词：

Rearrangement; Lorentz space; Symmetrization;

D O I：

10.1016/S0019-3577(08)00008-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a general set transformation R between two measure spaces, we define the rearrangement of a measurable function by means of the Layer's cake formula. We study some functional properties of the Lorentz spaces defined in terms of R, giving a unified approach to the classical rearrangement, Steiner's symmetrization, the multidimensional case, and the discrete setting of trees.

引用

页码：33 / 51

页数：19

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