Czechoslovak Mathematical Journal, Vol. 70, No. 3, pp. 727-741, 2020
Commutant of multiplication operators in weighted Bergman spaces on polydisk
Received November 5, 2018. Published online January 16, 2020.
Abstract: 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 $n$-dimensional complex plane. Characterization of the commutant of such operators is given.
Keywords: multiplication operator; commutant of an operator; weighted Bergman space