Abstract
We study two problems involving algebraic properties of Toeplitz operators on generalized Fock spaces on Cd with weights of the form |z|2se−|z|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.
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