Boundedness of Monge-Ampére singular integral operators acting on hardy spaces and their duals

Chin Cheng Lin

doi:10.1090/tran/6397

Boundedness of Monge-Ampére singular integral operators acting on hardy spaces and their duals

Chin Cheng Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

7 引文斯高帕斯（Scopus）

摘要

We study the Hardy spaces H_F^p associated with a family F of sections which is closely related to the Monge-Ampére equation. We characterize the dual spaces of H_F^p, which can be realized as Carleson measure spaces, Campanato spaces, and Lipschitz spaces. Also the equivalence between the characterization of the Littlewood-Paley g-function and atomic decomposition for H_F^p is obtained. Then we prove that Monge-Ampére singular operators are bounded from H_F^p into L_μ^p and bounded on both H_F^p and their dual spaces.

原文	???core.languages.en_GB???
頁（從 - 到）	3075-3104
頁數	30
期刊	Transactions of the American Mathematical Society
卷	368
發行號	5
DOIs	https://doi.org/10.1090/tran/6397
出版狀態	已出版 - 5月 2016

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10.1090/tran/6397

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AB - We study the Hardy spaces HFp associated with a family F of sections which is closely related to the Monge-Ampére equation. We characterize the dual spaces of HFp, which can be realized as Carleson measure spaces, Campanato spaces, and Lipschitz spaces. Also the equivalence between the characterization of the Littlewood-Paley g-function and atomic decomposition for HFp is obtained. Then we prove that Monge-Ampére singular operators are bounded from HFp into Lμp and bounded on both HFp and their dual spaces.

KW - Campanato spaces

KW - Carleson measure spaces

KW - Hardy spaces

KW - Lipschitz spaces

KW - Monge-Ampére singular integral operators

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SP - 3075

EP - 3104

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 5

ER -

Boundedness of Monge-Ampére singular integral operators acting on hardy spaces and their duals

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