Illinois Journal of Mathematics
- Illinois J. Math.
- Volume 51, Number 2 (2007), 479-498.
Weighted composition operators between different weighted Bergman spaces and different Hardy spaces
We characterize bounded and compact weighted composition operators acting between weighted Bergman spaces and between Hardy spaces. Our results use certain integral transforms that generalize the Berezin transform. We also estimate the essential norms of these operators. As applications, we characterize bounded and compact pointwise multiplication operators between weighted Bergman spaces and estimate their essential norms.
Illinois J. Math., Volume 51, Number 2 (2007), 479-498.
First available in Project Euclid: 13 November 2009
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47B33: Composition operators
Secondary: 30D55 46E15: Banach spaces of continuous, differentiable or analytic functions
Cucković, Zeljko; Zhao, Ruhan. Weighted composition operators between different weighted Bergman spaces and different Hardy spaces. Illinois J. Math. 51 (2007), no. 2, 479--498. doi:10.1215/ijm/1258138425. https://projecteuclid.org/euclid.ijm/1258138425