Sharp Norm Estimates for the BergmanOperator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces
Canadian journal of mathematics, Tome 68 (2016) no. 6, pp. 1257-1284
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In this paper we give sharp norm estimates for the Bergman operator acting from weightedmixed-norm spaces to weighted Hardy spaces in the ball, endowed with natural norms.
Mots-clés :
47B38, 32A35, 42B25, 32A37, weighted Hardy space, Bergman operator, sharp norm estimate
Cascante, Carme; Fàbrega, Joan; Ortega, Joaquín M. Sharp Norm Estimates for the BergmanOperator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces. Canadian journal of mathematics, Tome 68 (2016) no. 6, pp. 1257-1284. doi: 10.4153/CJM-2016-005-6
@article{10_4153_CJM_2016_005_6,
author = {Cascante, Carme and F\`abrega, Joan and Ortega, Joaqu{\'\i}n M.},
title = {Sharp {Norm} {Estimates} for the {BergmanOperator} {From} {Weighted} {Mixed-norm} {Spaces} to {Weighted} {Hardy} {Spaces}},
journal = {Canadian journal of mathematics},
pages = {1257--1284},
year = {2016},
volume = {68},
number = {6},
doi = {10.4153/CJM-2016-005-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-005-6/}
}
TY - JOUR AU - Cascante, Carme AU - Fàbrega, Joan AU - Ortega, Joaquín M. TI - Sharp Norm Estimates for the BergmanOperator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces JO - Canadian journal of mathematics PY - 2016 SP - 1257 EP - 1284 VL - 68 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-005-6/ DO - 10.4153/CJM-2016-005-6 ID - 10_4153_CJM_2016_005_6 ER -
%0 Journal Article %A Cascante, Carme %A Fàbrega, Joan %A Ortega, Joaquín M. %T Sharp Norm Estimates for the BergmanOperator From Weighted Mixed-norm Spaces to Weighted Hardy Spaces %J Canadian journal of mathematics %D 2016 %P 1257-1284 %V 68 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-005-6/ %R 10.4153/CJM-2016-005-6 %F 10_4153_CJM_2016_005_6
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