Weighted composition operators between different Fock spaces
Abstract
We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of nonzero weighted composition operators.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- 10.48550/arXiv.1704.03752
- arXiv:
- arXiv:1704.03752
- Bibcode:
- 2017arXiv170403752T
- Keywords:
-
- Mathematics - Complex Variables;
- 30D15;
- 47B33