Some characterizations of upper doubling conditions on metric measure spaces

被引：4

作者：

Tan, Chaoqiang ^{[1
]}

Li, Ji ^{[2
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Peoples R China

[2] Macquarie Univ, Dept Math, N Ryde, NSW 2109, Australia

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 01期

关键词：

Non-homogeneous; upper doubling; CALDERON-ZYGMUND OPERATORS; FRACTIONAL INTEGRALS; MORREY SPACES; T(1) THEOREM; HARDY-SPACES; H-1; INEQUALITIES; BOUNDEDNESS; COMMUTATORS; BMO;

D O I：

10.1002/mana.201400347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hytonen for non-homogeneous metric measure spaces. We also introduce the "smooth strong upper doubling" condition and provide equivalent characterizations, which is related to the development of Littlewood Paley theory on this non-homogeneous setting. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：142 / 158

页数：17

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