Composition operators on weighted analytic spaces
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1213-1230
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We characterize the membership in the Schatten ideals $\mathcal {S}_p$, $0
, 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.
Mots-clés :
Composition operators, Toeplitz operators, weighted Bergman spaces, weighted Dirichlet spaces, Schatten p-ideals
Bourass, Marouane; Marrhich, Ibrahim; Mkadmi, Fouzia. Composition operators on weighted analytic spaces. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1213-1230. doi: 10.4153/S0008439523000292
@article{10_4153_S0008439523000292,
author = {Bourass, Marouane and Marrhich, Ibrahim and Mkadmi, Fouzia},
title = {Composition operators on weighted analytic spaces},
journal = {Canadian mathematical bulletin},
pages = {1213--1230},
year = {2023},
volume = {66},
number = {4},
doi = {10.4153/S0008439523000292},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000292/}
}
TY - JOUR AU - Bourass, Marouane AU - Marrhich, Ibrahim AU - Mkadmi, Fouzia TI - Composition operators on weighted analytic spaces JO - Canadian mathematical bulletin PY - 2023 SP - 1213 EP - 1230 VL - 66 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000292/ DO - 10.4153/S0008439523000292 ID - 10_4153_S0008439523000292 ER -
%0 Journal Article %A Bourass, Marouane %A Marrhich, Ibrahim %A Mkadmi, Fouzia %T Composition operators on weighted analytic spaces %J Canadian mathematical bulletin %D 2023 %P 1213-1230 %V 66 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000292/ %R 10.4153/S0008439523000292 %F 10_4153_S0008439523000292
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