Weighted Carleson Measure Spaces Associated with Different Homogeneities
Canadian journal of mathematics, Tome 66 (2014) no. 6, pp. 1382-1412
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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.
Mots-clés :
42B20, 42B35, composition of operators, weighted Carleson measure spaces, duality
Wu, Xinfeng. Weighted Carleson Measure Spaces Associated with Different Homogeneities. Canadian journal of mathematics, Tome 66 (2014) no. 6, pp. 1382-1412. doi: 10.4153/CJM-2013-021-1
@article{10_4153_CJM_2013_021_1,
author = {Wu, Xinfeng},
title = {Weighted {Carleson} {Measure} {Spaces} {Associated} with {Different} {Homogeneities}},
journal = {Canadian journal of mathematics},
pages = {1382--1412},
year = {2014},
volume = {66},
number = {6},
doi = {10.4153/CJM-2013-021-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-021-1/}
}
TY - JOUR AU - Wu, Xinfeng TI - Weighted Carleson Measure Spaces Associated with Different Homogeneities JO - Canadian journal of mathematics PY - 2014 SP - 1382 EP - 1412 VL - 66 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-021-1/ DO - 10.4153/CJM-2013-021-1 ID - 10_4153_CJM_2013_021_1 ER -
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