Weighted composition operators acting between weighted Bbergman spaces and weighted Banach spaces of holomorphic functions on the unit ball

Authors

  • Elke Wolf Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany Author

Keywords:

Weighted Bergman space, weighted composition operator, weighted Bergman space of infinite order

Subjects:

47B33, 47B38

Abstract

We characterize boundedness and compactness ofweighted composition operators acting between weighted Bergmanspaces Av,p and weighted Banach spaces Hwınfty ofholomorphic functions on the open unit ball of CN, N1.Moreover, we give a sufficient condition for such an operatoracting between weighted Bergman spaces Av,p and Aw,p onthe unit ball to be bounded.

Downloads

Published

2010-07-15