Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss

YanChang Han; YongSheng Han; Ji Li

doi:10.1007/s11425-017-9152-4

Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss

YanChang Han
, YongSheng Han
, Ji Li

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

23 Citations (Scopus)

Abstract

It is known that the space of homogeneous type introduced by Coifman and Weiss (1971) provides a very natural setting for establishing a theory of Hardy spaces. This paper concentrates on how the geometrical conditions of the space of homogeneous type play a crucial role in building a theory of Hardy spaces via the Littlewood-Paley functions.

Original language	English
Pages (from-to)	2199–2218
Number of pages	20
Journal	Science China Mathematics
Volume	60
Issue number	11
DOIs	https://doi.org/10.1007/s11425-017-9152-4
Publication status	Published - Nov 2017

Keywords

spaces of homogeneous type
Hardy space
singular integrals
Carleson measure space
BMO

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10.1007/s11425-017-9152-4

Cite this

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abstract = "It is known that the space of homogeneous type introduced by Coifman and Weiss (1971) provides a very natural setting for establishing a theory of Hardy spaces. This paper concentrates on how the geometrical conditions of the space of homogeneous type play a crucial role in building a theory of Hardy spaces via the Littlewood-Paley functions.",

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KW - Hardy space

KW - singular integrals

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UR - http://purl.org/au-research/grants/arc/DP160100153

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Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss

Abstract

Keywords

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