On the Commutant of Certain Operators in the Bergman Space
Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A
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We study the commutant of analytic multiplication operator $M_{z^2}$ on the weighted Bergman space $A^2_\alpha$. According to a result of Zhu [Reducing subspaces for a class of multiplication operators, J. London Math. Soc. (2) 62 (
Classification :
47B38 (46E20, 30H20).
@article{BMMS_2012_35_2A_a3,
author = {Ali Abkar},
title = {On the {Commutant} of {Certain} {Operators} in the {Bergman} {Space}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2012},
volume = {35},
number = {2A},
url = {http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a3/}
}
Ali Abkar. On the Commutant of Certain Operators in the Bergman Space. Bulletin of the Malaysian Mathematical Society, Tome 35 (2012) no. 2A. http://geodesic.mathdoc.fr/item/BMMS_2012_35_2A_a3/