Affiliation:
1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Abstract
In this paper, we consider the dual Toeplitz operators on the orthogonal complement of the Fock–Sobolev space and characterize their boundedness and compactness. It turns out that the dual Toeplitz operator
is bounded if and only if
, and
. We also obtain that the dual Toeplitz operator with
symbol on orthogonal complement of the Fock–Sobolev space is compact if and only if the corresponding symbol is equal to zero almost everywhere.
Funder
National Natural Science Foundation of China
Reference23 articles.
1. Fock–Sobolev spaces and their Carleson measures
2. Boundedness criterion for integral operators on the fractional Fock–Sobolev spaces
3. Fock-Sobolev spaces and weighted composition operators among them;L. He;Commun. Math. Res.,2016
4. Spectral theory of multiplication operators on Hardy-Sobolev spaces;G. F. Cao;Journal of Functional Analysis,2018
5. Positive Toeplitz operators betwen different Fock-Sobolev type spaces, Complex;J. J. Chen;Anal. Oper. Theory,2022
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献