## Illinois Journal of Mathematics

### Weighted composition operators between different weighted Bergman spaces and different Hardy spaces

#### Abstract

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.

#### Article information

Source
Illinois J. Math., Volume 51, Number 2 (2007), 479-498.

Dates
First available in Project Euclid: 13 November 2009

https://projecteuclid.org/euclid.ijm/1258138425

Digital Object Identifier
doi:10.1215/ijm/1258138425

Mathematical Reviews number (MathSciNet)
MR2342670

Zentralblatt MATH identifier
1147.47021

#### Citation

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