Some characterizations of upper doubling conditions on metric measure spaces

Chaoqiang Tan; Ji Li

doi:10.1002/mana.201400347

Some characterizations of upper doubling conditions on metric measure spaces

Chaoqiang Tan
, Ji Li^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hytönen 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.

Original language	English
Pages (from-to)	142-158
Number of pages	17
Journal	Mathematische Nachrichten
Volume	290
Issue number	1
DOIs	https://doi.org/10.1002/mana.201400347
Publication status	Published - 2017

Keywords

Non-homogeneous
upper doubling

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10.1002/mana.201400347

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title = "Some characterizations of upper doubling conditions on metric measure spaces",

abstract = "We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hyt{\"o}nen 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.",

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AU - Li, Ji

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AB - We provide several equivalent characterizations for the upper doubling condition introduced in the framework of T. Hytönen 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.

KW - Non-homogeneous

KW - upper doubling

UR - https://www.scopus.com/pages/publications/84973525538

U2 - 10.1002/mana.201400347

DO - 10.1002/mana.201400347

M3 - Article

AN - SCOPUS:84973525538

SN - 0025-584X

VL - 290

SP - 142

EP - 158

JO - Mathematische Nachrichten

JF - Mathematische Nachrichten

IS - 1

ER -

Some characterizations of upper doubling conditions on metric measure spaces

Abstract

Keywords

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