The continuity of pseudo-differential operators on weighted local Hardy spaces

Ming Yi Lee; Chin Cheng Lin; Ying Chieh Lin

doi:10.4064/sm198-1-4

The continuity of pseudo-differential operators on weighted local Hardy spaces

Ming Yi Lee, Chin Cheng Lin, Ying Chieh Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

We first show that a linear operator which is bounded on L², with ε A₁ can be extended to a bounded operator on the weighted local Hardy space h₁, if and only if this operator is uniformly bounded on all h₁-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h ¹.

原文	???core.languages.en_GB???
頁（從 - 到）	69-77
頁數	9
期刊	Studia Mathematica
卷	198
發行號	1
DOIs	https://doi.org/10.4064/sm198-1-4
出版狀態	已出版 - 2010

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10.4064/sm198-1-4

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AB - We first show that a linear operator which is bounded on L2, with ε A1 can be extended to a bounded operator on the weighted local Hardy space h1, if and only if this operator is uniformly bounded on all h1-atoms. As an application, we show that every pseudo-differential operator of order zero has a bounded extension to h 1.

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The continuity of pseudo-differential operators on weighted local Hardy spaces

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