Topological structure of the space of (weighted) composition operators between Fock spaces in several variables
Abstract
We give explicit descriptions of all path connected components and isolated points of both spaces of composition operators and nonzero weighted composition operators acting from a Fock space $\mathcal{F}^p(\mathbb{C}^n)$ to another one $\mathcal{F}^q(\mathbb{C}^n)$.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2018
- DOI:
- 10.48550/arXiv.1806.00181
- arXiv:
- arXiv:1806.00181
- Bibcode:
- 2018arXiv180600181T
- Keywords:
-
- Mathematics - Complex Variables;
- 47B33;
- 47B38;
- 32A15
- E-Print:
- 28 pages