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.
Citation
Ming-Yi Lee . "$H^p_w$ Boundedness of Calderón-Zygmund Type Operators." Commun. Math. Anal. 9 (1) 77 - 83, 2010.
Information
Published: 2010
First available in Project Euclid: 21 April 2010
zbMATH: 1189.42007
MathSciNet: MR2594684
Subjects:
Primary:
42B20
,
42B30
Keywords:
$A_p$ weights
,
atomic decomposition
,
Calderón-Zygmund operators
,
molecular characterization
,
weighted Hardy spaces
Rights: Copyright © 2010 Mathematical Research Publishers
