Norm and essential norm of a weighted composition operator on the Bloch space
Xiaosong Liu, Songxiao Li
TL;DR
This paper provides new estimates for the norm and essential norm of weighted composition operators on the Bloch space, leading to novel characterizations of their boundedness and compactness.
Contribution
It introduces new bounds and criteria for boundedness and compactness of weighted composition operators on the Bloch space.
Findings
New estimates for the norm and essential norm
Characterizations of boundedness
Criteria for compactness
Abstract
We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on the Bloch space.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Algebraic and Geometric Analysis