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Hwp Boundedness of Calderón-Zygmund Type Operators

Commun. Math. Anal.
Volume 9, Number 1 (2010), 77 - 83

$H^p_w$ Boundedness of Calderón-Zygmund Type Operators

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Abstract

We use atomic decomposition and molecular characterization to show that some Calderón-Zygmund operators are bounded on $H^p_w$-boundedness for $0 < p\le 1$, where $w$ belongs to the Muckenhoup $A_1$-class.