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The Cauchy Integral Operator on Weighted Hardy Space |
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| Authors: | Jianmiao RUAN and Jiecheng CHEN |
| Affiliation: | 1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China;Department of Mathematics,Zhejiang Education Institute, Hangzhou 310012, China 2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
| Abstract: | The authors show that the Cauchy integral operator is bounded from H ω p (R 1) to h w p (R 1) (the weighted local Hardy space). To prove the results, a kind of generalized atoms is introduced and a variant of weighted “Tb theorem” is considered. |
| Keywords: | Cauchy integral Weighted Hardy space Weighted local Hardy space |
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