English

Toeplitz Operators with Positive Measures on Harmonic Fock Spaces

Functional Analysis 2024-10-10 v1

Abstract

In this paper, we study the basic properties of Toeplitz Operators with positive measures μ\mu on harmonic Fock spaces. We prove equivalent conditions for boundedness, compactness and Schatten classes SpS_{p} of TμT_{\mu} by using the methods of Berezin transform of operators.

Keywords

Cite

@article{arxiv.2410.06538,
  title  = {Toeplitz Operators with Positive Measures on Harmonic Fock Spaces},
  author = {Xue Gou and Xin Hu and Sui Huang},
  journal= {arXiv preprint arXiv:2410.06538},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T19:13:48.083Z