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

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

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.

原文	???core.languages.en_GB???
文章編號	124871
期刊	Journal of Mathematical Analysis and Applications
卷	497
發行號	1
DOIs	https://doi.org/10.1016/j.jmaa.2020.124871
出版狀態	已出版 - 1 5月 2021

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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",

author = "Meifang Cheng and Lin, \{Chin Cheng\} and Meng Qu",

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T1 - Characterization of Besov spaces associated with parabolic sections

AU - Cheng, Meifang

AU - Lin, Chin Cheng

AU - Qu, Meng

PY - 2021/5/1

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85098227991

U2 - 10.1016/j.jmaa.2020.124871

DO - 10.1016/j.jmaa.2020.124871

M3 - 期刊論文

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VL - 497

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Characterization of Besov spaces associated with parabolic sections

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