E. Tchoundja

activity

20122026

most citedWeighted Estimates for the Berezin Transform and Bergman Projection on the Unit Ball in

C^{n}

35 citations · 36 across the 8 of their papers we have counts for

collaborators

10 papers

math.FA2026

Weakly, sufficiently or strongly localized operators on the Fock space in \mathh C^n

David Békollè, Solange B. Difo, Hugues O. Défo +1

We study properties of the following four classes of operators on the Fock space in $C^{n} :$ 1) weakly localized operators; 2) sufficiently localized operators in the sense o…

math.CA2025

Analysis of Toeplitz Operators with $B M O_{α}^{1}$ operator-valued symbols on $ℓ^{2} -$ Valued Bergman Spaces

David Békollè, Hugues Olivier Défo, Edgar L. Tchoundja

As a class of compact operators on the $ℓ^{2} -$ valued Bergman space $A_{α}^{2} (B_{n}, ℓ^{2})$ on the unit ball $B_{n},$ we study Toeplitz operators with $BMO^1_α(\mathbb…

math.CV2023

Weighted norm inequalities in the variableLlebesgue spaces for the Bergman projector on the unit ball of $c^{n}$

David BÉkollÈ, Edgar-Landry Tchoundja, Arsene-Brice Zotsa-Ngoufack

In this work, we extend the theory of Békollè-Bonami $B_{p}$ weights. Here we replace the constant $p$ by a non-negative measurable function $p (\cdot),$ which is log-Hölder continuou…

math.CV2021

Weighted Estimates for Operators Associated to the Bergman-Besov Kernels

David Békollé, Adriel R. Keumo, Edgar L. Tchoundja +1

We characterize the weights for which we have the boundedness of standard weighted integral operators induced by the Bergman-Besov kernels acting between two general weighted Lebes…

math.CV2020

Little Hankel Operators Between Vector-Valued Bergman Spaces on the Unit Ball

David Békollé, Hugues Olivier Defo, Edgar L. Tchoundja +1

In this paper, we study the boundedness and the compactness of the little Hankel operators $h_{b}$ with operator-valued symbols $b$ between different weighted vector-valued Bergman s…

math.CA2018

Atomic decomposition and Weak Factorization for Bergman-Orlicz spaces

David Bekolle, Aline Bonami, Edgar Tchoundja

For $B^{n}$ the unit ball of $C^{n}$ , we consider Bergman-Orlicz spaces of holomorphic functions in $L_{α}^{Φ} (B^{n})$ , which are generalizations of classical Bergman…

math.CA2016

The Duren-Carleson theorem in tube domains over symmetric cones

David Békollé, Benoît F. Sehba, Edgar L. Tchoundja

In the setting of tube domains over symmetric cones, $T_{Ω}$ , we study the characterization of the positive Borel measures $μ$ for which the Hardy space $H^{p}$ is continuously embedde…

math.CA2016★ 35 cited

Weighted Estimates for the Berezin Transform and Bergman Projection on the Unit Ball in $C^{n}$

Rob Rahm, Edgar Tchoundja, Brett D. Wick

Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates for the Bergman projection and Berezin transform and more general operators in weighted Be…

math.CA2015★ 1 cited

Duality for large Bergman-Orlicz spaces and Boundedness of Hankel Operators

Benoit F. Sehba, Edgar Tchoundja

For $B^{n}$ the unit ball of $C^{n}$ , we consider Bergman-Orlicz spaces of holomorphic functions in $L_{α}^{Φ}$ , which are generalizations of classical Bergman spaces. We c…

math.CA2012

Hankel operators on holomorphic Hardy-Orlicz spaces