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Composition operators on weighted analytic spaces
Part of
- Spaces and algebras of analytic functions
- Special classes of linear operators
Marouane Bourass, Ibrahim Marrhich, Fouzia Mkadmi
Journal:

Canadian Mathematical Bulletin / Volume 66 / Issue 4 / December 2023

Published online by Cambridge University Press:

17 April 2023, pp. 1213-1230

Print publication:

December 2023
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We characterize the membership in the Schatten ideals $\mathcal {S}_p$, $0<p<\infty $, of composition operators acting on weighted Dirichlet spaces. Our results concern a large class of weights. In particular, we examine the case of perturbed superharmonic weights. Characterization of composition operators acting on weighted Bergman spaces to be in $\mathcal {S}_p$ is also given.