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| The Cauchy Integral Operator on Weighted Hardy Space |
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Citation： |
Jianmiao RUAN,Jiecheng CHEN.The Cauchy Integral Operator on Weighted Hardy Space[J].Chinese Annals of Mathematics B,2010,31(4):461~472 |
| Page view： 1938
Net amount： 1638 |
Authors： |
Jianmiao RUAN; Jiecheng CHEN; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10571156, 10871173,
10931001), the Zhejiang Provincial Natural Science Foundation of China (No. Y606117) and the Science
Foundation of Education Department of Zhejiang Province (No. Y200803879). |
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| Abstract： |
The authors show that the Cauchy integral operator is bounded
from $H^{p}_{\omega} (R^{1})$ to $h^{p}_{\omega}(R^{1})$ (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, Calder′on-Zygmund operator, Weighted Hardy space,
Weighted local Hardy space |
Classification： |
42B20, 42B25 |
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