Algebra of Calderón-Zygmund operators associated to para-accretive functions

Yongsheng Han, Ming Yi Lee, Chin Cheng Lin

研究成果: 雜誌貢獻期刊論文同行評審

4 引文 斯高帕斯(Scopus)

摘要

By use of special wavelet bases associated to accretive or pseudo-accretive functions, it was proved that all Calderón-Zygmund operators satisfying certain conditions form an algebra. In this article, a similar result is proved for more general para-accretive functions. Since wavelet bases are not available for this general setting, the new idea used here is to apply the discrete Calderón-type reproducing formula associated to para-accretive functions developed in [14]. This new method can be applied to many other problems, where wavelet bases are not available.

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頁(從 - 到)581-596
頁數16
期刊Journal of Fourier Analysis and Applications
12
發行號5
DOIs
出版狀態已出版 - 10月 2006

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