Journal of Operator Theory

Volume 59, Issue 1, Winter 2008 pp. 157-178.

Weak product decompositions and Hankel operators on vector-valued Bergman spaces

Authors: Olivia Constantin
Author institution:School of Mathematics, Trinity College Dublin, Dublin 2, Ireland

Summary: We obtain some weak product decomposition theorems, which represent the Bergman space analogues to Sarason's theorem for operator- valued Hardy spaces, respectively, to the Ferguson-Lacey theorem for Hardy spaces on product domains. We also characterize the compact little Hankel operators on vector-valued Bergman spaces.

Keywords: Weak product decomposition, compact Hankel operator, vector-valued Bergman space.

Contents Full-Text PDF