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

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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.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.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.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