PreprintarXiv licencearXiv
Weighted composition operators on the Fock space
Abstract
In this paper, we discuss the compactness, invertibility and isometry of the operators on the Fock space formed by multiplying a weighted composition operator with the adjoint of another weighted composition operator to form either Wg, ψWf, φ* or Wg, ψ*Wf, φ.
Related
- Semigroup of composition operators on the Fock space of several complex variables
- Numerical range and invariant subspaces of weighted composition operators on the Hardy space of Dirichlet series
- Absolutely summing Toeplitz operators on weighted Fock spaces
- IDA symbols and Schatten--Lorentz theory for Toeplitz operators on weighted Fock spaces
- Commuting Toeplitz operators with harmonic symbols on the Fock space
BibTeX
@misc{tian2026weighted,
title = {{Weighted composition operators on the Fock space}},
author = {Xianchi Tian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29786},
eprint = {2610.29786},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29786},
}
RIS
TY - UNPB
TI - Weighted composition operators on the Fock space
AU - Xianchi Tian
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29786
UR - https://arxiv.org/abs/2610.29786
AB - In this paper, we discuss the compactness, invertibility and isometry of the operators on the Fock space formed by multiplying a weighted composition operator with the adjoint of another weighted composition operator to form either W_g, ψW_f, φ^* or W_g, ψ^*W_f, φ.
ER -