Geodesic
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.
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 
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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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