Algebraic properties of Toeplitz operators on generalized Fock spaces on C-d

摘要

We study two problems involving algebraic properties of Toeplitz operators on generalized Fock spaces on C-d with weights of the form vertical bar z vertical bar(2s) e(-vertical bar z vertical bar 2m) ; m >= 1, s >= 0. We determine the commutant of a given Toeplitz operator with a radial symbol which satisfies certain growth conditions. We also discuss the equation TfTg = 0, when f or g is radial. (C) 2019 Published by Elsevier Inc.