English

Semi-commuting Toeplitz Operators on Fock-Sobolev spaces

Functional Analysis 2022-05-24 v7

Abstract

Let F2,m(C)F^{2,m}(\mathbb{C}) denote the Fock-Sobolev space of complex plane. In this paper, we characterize the semi-commutator of two Toeplitz operators on F2,m(C)F^{2,m}(\mathbb{C}) is zero. The result is different from the result of Bauer, Choe, and Koo. (J. Funct. Anal., 268 (2015): 3017-3060.)

Keywords

Cite

@article{arxiv.2103.15465,
  title  = {Semi-commuting Toeplitz Operators on Fock-Sobolev spaces},
  author = {Jie Qin},
  journal= {arXiv preprint arXiv:2103.15465},
  year   = {2022}
}

Comments

to appear in Bulletin des Sciences Math$\acute{e}$matiques

R2 v1 2026-06-24T00:38:33.711Z