Commutant of multiplication operators in weighted Bergman spaces on polydisk
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 727-741.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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
@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. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0494-18/

Cité par Sources :