H. Arroussi

collaborators

3 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-…

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

Toeplitz operators on large vector-valued Fock spaces

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

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