Composition Operators Induced by Analytic Maps to the Polydisk
Canadian journal of mathematics, Tome 64 (2012) no. 6, pp. 1329-1340
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We study properties of composition operators induced by symbols acting from the unit disk to the polydisk. This result will be involved in the investigation of weighted composition operators on the Hardy space on the unit disk and, moreover, be concerned with composition operators acting from the Bergman space to the Hardy space on the unit disk.
Mots-clés :
47B33, 32A35, 30H10, composition operators, Hardy spaces, polydisk
Izuchi, Kei Ji; Nguyen, Quang Dieu; Ohno, Shûichi. Composition Operators Induced by Analytic Maps to the Polydisk. Canadian journal of mathematics, Tome 64 (2012) no. 6, pp. 1329-1340. doi: 10.4153/CJM-2011-073-3
@article{10_4153_CJM_2011_073_3,
author = {Izuchi, Kei Ji and Nguyen, Quang Dieu and Ohno, Sh\^uichi},
title = {Composition {Operators} {Induced} by {Analytic} {Maps} to the {Polydisk}},
journal = {Canadian journal of mathematics},
pages = {1329--1340},
year = {2012},
volume = {64},
number = {6},
doi = {10.4153/CJM-2011-073-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-073-3/}
}
TY - JOUR AU - Izuchi, Kei Ji AU - Nguyen, Quang Dieu AU - Ohno, Shûichi TI - Composition Operators Induced by Analytic Maps to the Polydisk JO - Canadian journal of mathematics PY - 2012 SP - 1329 EP - 1340 VL - 64 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-073-3/ DO - 10.4153/CJM-2011-073-3 ID - 10_4153_CJM_2011_073_3 ER -
%0 Journal Article %A Izuchi, Kei Ji %A Nguyen, Quang Dieu %A Ohno, Shûichi %T Composition Operators Induced by Analytic Maps to the Polydisk %J Canadian journal of mathematics %D 2012 %P 1329-1340 %V 64 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-073-3/ %R 10.4153/CJM-2011-073-3 %F 10_4153_CJM_2011_073_3
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