Capacitary function spaces

被引：19

作者：

Cerda, Joan ^{[1
]}

Martin, Joaquim ^{[2
]}

Silvestre, Pilar ^{[1
]}

机构：

[1] Univ Barcelona, Dept Matemat Aplicada & Anal, Barcelona, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, Bellaterra, Spain

来源：

COLLECTANEA MATHEMATICA | 2011年 / 62卷 / 01期

关键词：

Capacity; Lorentz spaces; Interpolation; LORENTZ SPACES; REARRANGEMENT; ENTROPY;

D O I：

10.1007/s13348-010-0031-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

These notes are devoted to the analysis on a capacity space, with capacities as substitutes of measures in the study of function spaces. The goal is to extend to the associated function lattices some aspects of the theory of Banach function spaces, to show how the general theory can be applied to classical function spaces such as Lorentz spaces, and to complete the real interpolation theory for these spaces included in Cerda (J Math Anal Appl 304:269-295, 2005) and Cerda et al. (AMS Contemp Math 445:49-55, 2007).

引用

页码：95 / 118

页数：24

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