×

Weighted composition operators acting between weighted Bergman spaces and weighted Banach spaces of holomorphic functions on the unit ball. (English) Zbl 1258.47043

In [E. Wolf, Rev. Mat. Complut. 21, No. 2, 475–480 (2008; Zbl 1161.47018)], the author considered weighted composition operators between weighted Bergman spaces and weighted Banach spaces of holomorphic functions on the unit disk where the involved weights belonged to a special class. Here, she investigates the boundedness of a weighted composition operator acting between weighted Bergman spaces on the unit ball and characterizes the boundedness and the compactness of weighted composition operators between weighted Bergman spaces and weighted Banach spaces of holomorphic functions on the unit ball for a different class of weights.

MSC:

47B33 Linear composition operators
47B38 Linear operators on function spaces (general)

Citations:

Zbl 1161.47018
PDFBibTeX XMLCite