The Boundedness of Monge-Ampère Singular Integral Operators

Ming Yi Lee

doi:10.1007/s00041-011-9203-4

The Boundedness of Monge-Ampère Singular Integral Operators

Ming Yi Lee

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

6 引文斯高帕斯（Scopus）

摘要

We first define molecules for Hardy spaces H ¹ _F(ℝ) associated with a family F of sections which is closely related to the Monge-Ampère equation and prove their molecular characters. As an application, we show that Monge-Ampère singular operators are bounded on H ¹ _F(ℝ).

原文	???core.languages.en_GB???
頁（從 - 到）	211-222
頁數	12
期刊	Journal of Fourier Analysis and Applications
卷	18
發行號	2
DOIs	https://doi.org/10.1007/s00041-011-9203-4
出版狀態	已出版 - 4月 2012

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10.1007/s00041-011-9203-4

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AB - We first define molecules for Hardy spaces H 1 F(ℝ) associated with a family F of sections which is closely related to the Monge-Ampère equation and prove their molecular characters. As an application, we show that Monge-Ampère singular operators are bounded on H 1 F(ℝ).

KW - Hardy spaces

KW - Molecular characterization

KW - Monge-Ampère equation

KW - Monge-Ampère singular integral operators

UR - https://www.scopus.com/pages/publications/84858751304

U2 - 10.1007/s00041-011-9203-4

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M3 - 期刊論文

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The Boundedness of Monge-Ampère Singular Integral Operators

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