Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617339 | Journal of Mathematical Analysis and Applications | 2012 | 12 Pages |
Abstract
We study weighted composition operators on Hilbert spaces of analytic functions on the unit ball with kernels of the form (1−〈z,w〉)−γ for γ>0γ>0. We find necessary and sufficient conditions for the adjoint of a weighted composition operator to be a weighted composition operator or the inverse of a weighted composition operator. We then obtain characterizations of self-adjoint and unitary weighted composition operators. Normality of these operators is also investigated.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Trieu Le,