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

Ming Yi Lee, Chin Cheng Lin, Ying Chieh Lin

研究成果: 雜誌貢獻期刊論文同行評審

3 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
198
發行號1
DOIs
出版狀態已出版 - 2010

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