H. Arroussi

activity

20132025

most citedReproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces

4 citations · 4 across the 7 of their papers we have counts for

collaborators

8 papers

math.CV2025

Bergman Projections, Kernel $p$ -Norm Estimates, and Toeplitz Operators with Békollé and Bonami weights

Hicham Arroussi, Jari Taskinen, Cezhong Tong +1

In this paper, we establish entirely new $p$ -norm estimates for reproducing kernels to characterize the bounded and compact Toeplitz operators $T_{μ}$ acting between weighted Békollé…

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.CV2024

A new class of Carleson measures and integral operators on Bergman spaces

Hicham Arroussi, Huijie Liu, Cezhong Tong +1

Let $n$ be a positive integer and $g = (g_{0}, g_{1}, \dots, g_{n - 1})$ , with $g_{k} \in H (D)$ for $k = 0, 1, \dots, n - 1$ . Let $I_{g}^{(n)}$ be the generalized Volterra-…

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 $S \mapsto [T, S] = T S - S T$ maps the algebra of bounded operators on a Hilbert sp…

math.CV2022

Generalized Volterra type integral operators on large Bergman spaces

H. Gissy, H. Arroussi, J. A. Virtanen

Let $ϕ$ be an analytic self-map of the open unit disk $D$ and $g$ analytic in $D$ . We characterize boundedness and compactness of generalized Volterra type integr…

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 $S_{p} (A_{ω}^{2})$ for $0 < p < \infty$ of the Toeplitz operator acting on large weighted Bergman spaces is obtained.

math.CV2014

Atomic decomposition for Bergman spaces with exponential type weights

Hicham Arroussi, Jordi Pau

We show that any function in a Bergman space with exponential type weights admits a representation in terms of an infinite series of kernel functions.

math.CV2013★ 4 cited

Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces