Analysis of Toeplitz Operators with $BM{O}_{\alpha }^1$ operator-valued symbols on ${\ell }^2-$Valued Bergman Spaces

David Békollè, Hugues Olivier Défo, Edgar L. Tchoundja

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