English

Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights

Functional Analysis 2025-12-09 v1

Abstract

By establishing some reproducing kernel estimates, we characterize the bounded, compact and Schatten pp-class Toeplitz operators with positive measure symbols on the weighted Fock space Fα,w2F^2_{\alpha,w} for p1p\geq1, where ww is a weight on the complex plane satisfying an AA_{\infty}-type condition. Applications to Volterra operators and weighted composition operators are given.

Keywords

Cite

@article{arxiv.2512.07145,
  title  = {Toeplitz operators on weighted Fock spaces with $A_{\infty}$-type weights},
  author = {Jiale Chen},
  journal= {arXiv preprint arXiv:2512.07145},
  year   = {2025}
}
R2 v1 2026-07-01T08:14:10.680Z