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Weighted Carleson Measure Spaces Associated with Different Homogeneities

Published online by Cambridge University Press:  24 December 2018

Xinfeng Wu
Xinfeng Wu*
Affiliation:
Department of Mathematics, China University of Mining ℘ Technology (Beijing), Beijing 100083, China. e-mail: wuxf@cumtb.edu.cn
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Abstract

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In this paper, we introduce weighted Carleson measure spaces associated with different homogeneities and prove that these spaces are the dual spaces of weighted Hardy spaces studied in a forthcoming paper. As an application, we establish the boundedness of composition of two Calderón–Zygmund operators with different homogeneities on the weighted Carleson measure spaces; this, in particular, provides the weighted endpoint estimates for the operators studied by Phong–Stein.

Keywords

42B2042B35composition of operatorsweighted Carleson measure spacesduality
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 66 , Issue 6 , 01 December 2014 , pp. 1382 - 1412
Copyright
Copyright © Canadian Mathematical Society 2014

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