Commutant of multiplication operators in weighted Bergman spaces on polydisk
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 727-741
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We study a certain operator of multiplication by monomials in the weighted Bergman space both in the unit disk of the complex plane and in the polydisk of the \hbox {$n$-dimensional} complex plane. Characterization of the commutant of such operators is given.
DOI :
10.21136/CMJ.2020.0494-18
Classification :
30H20, 32A36, 46E22, 47B38
Keywords: multiplication operator; commutant of an operator; weighted Bergman space
Keywords: multiplication operator; commutant of an operator; weighted Bergman space
@article{10_21136_CMJ_2020_0494_18,
author = {Abkar, Ali},
title = {Commutant of multiplication operators in weighted {Bergman} spaces on polydisk},
journal = {Czechoslovak Mathematical Journal},
pages = {727--741},
publisher = {mathdoc},
volume = {70},
number = {3},
year = {2020},
doi = {10.21136/CMJ.2020.0494-18},
mrnumber = {4151701},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0494-18/}
}
TY - JOUR AU - Abkar, Ali TI - Commutant of multiplication operators in weighted Bergman spaces on polydisk JO - Czechoslovak Mathematical Journal PY - 2020 SP - 727 EP - 741 VL - 70 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0494-18/ DO - 10.21136/CMJ.2020.0494-18 LA - en ID - 10_21136_CMJ_2020_0494_18 ER -
%0 Journal Article %A Abkar, Ali %T Commutant of multiplication operators in weighted Bergman spaces on polydisk %J Czechoslovak Mathematical Journal %D 2020 %P 727-741 %V 70 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0494-18/ %R 10.21136/CMJ.2020.0494-18 %G en %F 10_21136_CMJ_2020_0494_18
Abkar, Ali. Commutant of multiplication operators in weighted Bergman spaces on polydisk. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 727-741. doi: 10.21136/CMJ.2020.0494-18
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