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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.

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