Atomic decomposition and weak factorization for Bergman-Orlicz spaces

Series: 
Analysis Seminar
Wednesday, March 9, 2016 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
University of Yaounde
Organizer: 
 For $\mathbb B^n$  the unit ball of $\mathbb C^n$, we consider Bergman-Orlicz spaces of holomorphic functions in $L_\alpha^\Phi(\mathbb B^n)$,  which are generalizations of classical Bergman spaces. Weobtain their atomic decomposition and then prove weak factorization theorems involving the Bloch space and Bergman-Orlicz space and also weak factorization involving two Bergman-Orlicz spaces.   This talk is based on joint work with D. Bekolle and  A. Bonami.