14 citations · 21 across the 9 of their papers we have counts for
9 papers
Absolutely summing Hankel operators on Fock spaces and the Berger-Coburn phenomenon
Zhangjian Hu, Xiaofen Lv
In this paper, for we characterize those symbols so that the induced Hankel operators are -summing from Fock spaces to . The main…
Absolutely Summing Toeplitz operators on Bergman spaces in the unit ball of
Zhangjian Hu, Ermin Wang
In this paper, for and we provide a complete characterization of the positive Borel measures on the unit ball $\B_n$ of for which the induced…
Absolutely Summing Toeplitz operators on Fock spaces
Zhangjian Hu, Ermin Wang
For , let be the Fock spaces on with the weight function that \(φ\in {\mathcal{C}}^{2}\left( {\mathbb{C}}^{n}\right)\) is real-valued and…
On the Berger-Coburn phenomenon
Zhangjian Hu, Jani A. Virtanen
In their previous work, the authors proved the Berger-Coburn phenomenon for compact and Schatten class Hankel operators on generalized Fock spaces when , th…
IDA and Hankel operators on Fock spaces
Zhangjian Hu, Jani A. Virtanen
We introduce a new space IDA of locally integrable functions whose integral distance to holomorphic functions is finite, and use it to completely characterize boundedness and compa…
Fredholm Toeplitz operators on doubling Fock spaces
Zhangjian Hu, Jani A. Virtanen
Recently the authors characterized the Fredholmn properties of Toeplitz operators on weighted Fock spaces when the Laplacian of the weight function is bounded below and above. In t…
Toeplitz operators on Bergman spaces with exponential weights
Yiyuan Zhang, Xiaofeng Wang, Zhangjian Hu
In this paper, we focus on the weighted Bergman spaces in with . We first give characterizations of those finite positive Borel measures…
Schatten class Hankel operators on the Segal-Bargmann space and the Berger-Coburn phenomenon
Zhangjian Hu, Jani A. Virtanen
The authors provide a correct proof of Theorem 1.2 and correct the statement of Theorem 2.6 in their paper, which appeared in Trans. Amer. Math. Soc. 375 (2022), 3733-3753.
Localization and compactness of Operators on Fock Spaces
Zhangjian Hu, Xiaofen Lv, Brett D. Wick
For , let be the Fock space induced by a weight function satisfying . In this paper, given we introduce the concept of…