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math.FA2025
Toeplitz operators on large vector-valued Fock spaces
Hicham Arroussi, Ghazaleh Asghari, Jani Virtanen
We characterize boundedness and compactness of Toeplitz operators on large vector-valued Fock spaces with Dall'Ara's weights [Adv.\ Math., 285 (2015) 1706--1740] in terms of genera…
math.FA2023
Volterra-type inner derivations on Hardy spaces
H. Arroussi, C. Tong, J. A. Virtanen +1
A classical result of Calkin [Ann. of Math. (2) 42 (1941), pp. 839-873] says that an inner derivation maps the algebra of bounded operators on a Hilbert sp…
math.FA2014
Schatten class Toeplitz operators acting on large weighted Bergman spaces
Hicham Arroussi, Inyoung Park, Jordi Pau
A full description of the membership in the Schatten ideal for of the Toeplitz operator acting on large weighted Bergman spaces is obtained.