Boundedness of Monge–Ampère singular integral operators on Besov spaces

Yongshen Han; Ming Yi Lee; Chin Cheng Lin

doi:10.1080/00036811.2018.1549322

Boundedness of Monge–Ampère singular integral operators on Besov spaces

Yongshen Han, Ming Yi Lee, Chin Cheng Lin

Department of Mathematics

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

1 Scopus citations

Abstract

The purpose of this paper is to establish a theory of Besov spaces associated with sections under only the doubling condition on the measure and prove that Monge–Ampère singular integral operators are bounded on these spaces.

Original language	English
Pages (from-to)	1910-1938
Number of pages	29
Journal	Applicable Analysis
Volume	99
Issue number	11
DOIs	https://doi.org/10.1080/00036811.2018.1549322
State	Published - 17 Aug 2020

Keywords

Besov spaces
Monge–Ampère singular integral operator

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10.1080/00036811.2018.1549322

Bmo Spaces Associated with a Family of General Sets(3/3)
Lin, C.-C. (PI)
1/08/19 → 31/07/21
Project: Research
Characterization of Flag Hardy Space by Maximal Functions(2/2)
Lee, M.-Y. (PI)
1/08/18 → 31/07/19
Project: Research

Cite this

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title = "Boundedness of Monge–Amp{\`e}re singular integral operators on Besov spaces",

abstract = "The purpose of this paper is to establish a theory of Besov spaces associated with sections under only the doubling condition on the measure and prove that Monge–Amp{\`e}re singular integral operators are bounded on these spaces.",

keywords = "Besov spaces, Monge–Amp{\`e}re singular integral operator",

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N2 - The purpose of this paper is to establish a theory of Besov spaces associated with sections under only the doubling condition on the measure and prove that Monge–Ampère singular integral operators are bounded on these spaces.

AB - The purpose of this paper is to establish a theory of Besov spaces associated with sections under only the doubling condition on the measure and prove that Monge–Ampère singular integral operators are bounded on these spaces.

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Boundedness of Monge–Ampère singular integral operators on Besov spaces

Abstract

Keywords

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Projects

Bmo Spaces Associated with a Family of General Sets(3/3)

Characterization of Flag Hardy Space by Maximal Functions(2/2)

Cite this