The Cauchy integral operator on weighted Hardy space

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 / Calderón-Zygmund operator / Weighted Hardy space / Weighted local Hardy space

References

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