Monge–Ampère singular integral operators acting on Triebel–Lizorkin spaces

Meifang Cheng; Ming Yi Lee; Chin Cheng Lin; Meng Qu

doi:10.1080/00036811.2019.1623392

Monge–Ampère singular integral operators acting on Triebel–Lizorkin spaces

Meifang Cheng, Ming Yi Lee, Chin Cheng Lin, Meng Qu

Department of Mathematics

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

Abstract

We study the Triebel–Lizorkin spaces associated with sections which are closely related to the Monge-Ampère equations and show that Monge-Ampère singular integral operators are bounded on these Triebel–Lizorkin spaces.

Original language	English
Pages (from-to)	923-963
Number of pages	41
Journal	Applicable Analysis
Volume	100
Issue number	5
DOIs	https://doi.org/10.1080/00036811.2019.1623392
State	Published - 2021

Keywords

Jen-Chih Yao
Monge-Ampère singular integral operators
Triebel–Lizorkin spaces

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10.1080/00036811.2019.1623392

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 = "Monge–Amp{\`e}re singular integral operators acting on Triebel–Lizorkin spaces",

abstract = "We study the Triebel–Lizorkin spaces associated with sections which are closely related to the Monge-Amp{\`e}re equations and show that Monge-Amp{\`e}re singular integral operators are bounded on these Triebel–Lizorkin spaces.",

keywords = "Jen-Chih Yao, Monge-Amp{\`e}re singular integral operators, Triebel–Lizorkin spaces",

author = "Meifang Cheng and Lee, {Ming Yi} and Lin, {Chin Cheng} and Meng Qu",

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AU - Cheng, Meifang

AU - Lee, Ming Yi

AU - Lin, Chin Cheng

AU - Qu, Meng

PY - 2021

Y1 - 2021

N2 - We study the Triebel–Lizorkin spaces associated with sections which are closely related to the Monge-Ampère equations and show that Monge-Ampère singular integral operators are bounded on these Triebel–Lizorkin spaces.

AB - We study the Triebel–Lizorkin spaces associated with sections which are closely related to the Monge-Ampère equations and show that Monge-Ampère singular integral operators are bounded on these Triebel–Lizorkin spaces.

KW - Jen-Chih Yao

KW - Monge-Ampère singular integral operators

KW - Triebel–Lizorkin spaces

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DO - 10.1080/00036811.2019.1623392

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VL - 100

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JO - Applicable Analysis

JF - Applicable Analysis

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Monge–Ampère singular integral operators acting on Triebel–Lizorkin 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