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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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.

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DO - 10.1002/mana.201400347

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VL - 290

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JF - Mathematische Nachrichten

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ER -

Some characterizations of upper doubling conditions on metric measure spaces

Abstract

Keywords

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