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
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页码：142 / 158
页数：17
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