3 papers
math.CV2026
Bergman Projections, Kernel -Norm Estimates, and Toeplitz Operators with Békollé and Bonami weights
Hicham Arroussi, Jari Taskinen, Cezhong Tong +1
In this paper, we establish entirely new -norm estimates for reproducing kernels to characterize the bounded and compact Toeplitz operators acting between weighted Békol…
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.FA2025
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…