Algebra of Calderón-Zygmund Operators Associated to Para-Accretive Functions

被引:0
作者
Yongsheng Han
Ming-Yi Lee
Chin-Cheng Lin
机构
[1] Department of Mathematics,
[2] Auburn University,undefined
[3] Institute of Mathematics,undefined
[4] Academia Sinica,undefined
[5] Department of Mathematics,undefined
[6] National Central University,undefined
来源
Journal of Fourier Analysis and Applications | 2006年 / 12卷
关键词
Hardy Space; Singular Integral Operator; Homogeneous Type; Maximal Inequality; Dyadic Cube;
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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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页码:581 / 596
页数:15
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