The distance of L-infinity from BMO on metric measure spaces

被引：5

作者：

Kinnunen, Juha ^{[1
]}

Shukla, Parantap ^{[2
]}

机构：

[1] Aalto Univ, Dept Math, POB 11100, FI-00076 Aalto, Finland

[2] TIFR CAM, Bangalore 560065, Karnataka, India

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2014年 / 5卷 / 02期

基金：

芬兰科学院;

关键词：

Muckenhoupt weights; bounded mean oscillation; reverse Holder inequalities;

D O I：

10.1515/apam-2014-0018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work has two principal aims. The first is to obtain a characterization of the closure of L-infinity as a subset of BMO in the setting of metric measure spaces. The second is to examine the issue of whether the Muckenhoupt class A(1) is strictly contained in boolean AND(1<p<infinity) A(p) by way of an example in the setting of metric measure spaces.

引用

页码：117 / 129

页数：13

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