Weighted Carleson Measure Spaces Associated with Different Homogeneities

Wu, Xinfeng

Canadian journal of mathematics, Tome 66 (2014) no. 6, pp. 1382-1412

Résumé

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.

Détail

DOI : 10.4153/CJM-2013-021-1

Mots-clés : 42B20, 42B35, composition of operators, weighted Carleson measure spaces, duality

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