A decreasing rearrangement for functions on homogeneous trees

被引：5

作者：

Garcia-Domingo, JL ^{[1
]}

Soria, J

机构：

[1] Univ VIc, Dept Econ Matemat & Informat, E-08500 Vic, Spain

[2] Univ Barcelona, Dept Matemat Aplicada & Anal, E-08071 Barcelona, Spain

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2005年 / 26卷 / 02期

关键词：

D O I：

10.1016/j.ejc.2004.03.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new decreasing rearrangement for functions defined on a homogeneous tree, which enjoys very intuitive and natural properties. The idea is to iterate, with respect to a particular ordering, the usual one dimensional rearrangement on each geodesic. After showing the canonicity of this definition and the axioms of symmetrization, we prove our main result: the geometric and analytic definitions, in terms of the "layer cake" formula, agree. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：201 / 225

页数：25

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