H. Arroussi

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math.CV2026

Bergman Projections, Kernel $p$ -Norm Estimates, and Toeplitz Operators with BÃ©kollÃ© 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 $T_{I^} ¼$ acting between weighted BÃ©kol…

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 BÃ©kollÃ© and Bonami weights

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

Bergman Projections, Kernel $p$ -Norm Estimates, and Toeplitz Operators with BÃ©kollÃ© and Bonami weights