## KOMORI Yasuo,

## The Cauchy integral operator on Hardy space.

## Hokkaido Mathematical Journal, 37 (2008) pp.389-398

### Fulltext

PDF### Abstract

We show that the Cauchy integral operator is bounded from $H^p(R^1)$ to $h^p(R^1)$ (local Hardy space). To prove our theorem we shall introduce generalized atom and consider a variant of "$Tb$ theorem".

MSC(Primary) | 42B20 |
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MSC(Secondary) | |

Uncontrolled Keywords | the Cauchy integral, CalderÃ³n-Zygmund operator, Hardy space, local Hardy space. |