Characterization of Besov spaces associated with parabolic sections

Meifang Cheng; Chin Cheng Lin; Meng Qu

doi:10.1016/j.jmaa.2020.124871

Characterization of Besov spaces associated with parabolic sections

Meifang Cheng, Chin Cheng Lin, Meng Qu

Department of Mathematics

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

Abstract

We study the Besov spaces associated with a family of parabolic sections which are closely related to the parabolic Monge-Ampère equation. We demonstrate their duals under the doubling property only, and show an embedding theorem for these Besov spaces under the doubling property with a lower bound condition.

Original language	English
Article number	124871
Journal	Journal of Mathematical Analysis and Applications
Volume	497
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2020.124871
State	Published - 1 May 2021

Keywords

Besov spaces
Calderón reproducing formula
Embedding theorem
Monge-Ampère equation
Parabolic sections

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10.1016/j.jmaa.2020.124871

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title = "Characterization of Besov spaces associated with parabolic sections",

abstract = "We study the Besov spaces associated with a family of parabolic sections which are closely related to the parabolic Monge-Amp{\`e}re equation. We demonstrate their duals under the doubling property only, and show an embedding theorem for these Besov spaces under the doubling property with a lower bound condition.",

keywords = "Besov spaces, Calder{\'o}n reproducing formula, Embedding theorem, Monge-Amp{\`e}re equation, Parabolic sections",

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AU - Qu, Meng

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AB - We study the Besov spaces associated with a family of parabolic sections which are closely related to the parabolic Monge-Ampère equation. We demonstrate their duals under the doubling property only, and show an embedding theorem for these Besov spaces under the doubling property with a lower bound condition.

KW - Besov spaces

KW - Calderón reproducing formula

KW - Embedding theorem

KW - Monge-Ampère equation

KW - Parabolic sections

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JO - Journal of Mathematical Analysis and Applications

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Characterization of Besov spaces associated with parabolic sections

Abstract

Keywords

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