Jie Qin

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20212026

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math.FA2026

Zero-product problem for Toeplitz operators on the Fock space

Jie Qin

We answer Bauer and Le's question on zero products of Toeplitz operators on the Fock space $F^{2} (C^{n})$ [JFA, 261 (2011), 9, 2617--2640]. For $n \geq 2$ , we construct two bounded…

math.FA2022

Semi-commutants of Toeplitz Operators on Fock-Sobolev space of Nonnegative orders

Jie Qin

We make a progress towards describing the semi-commutants of Toeplitz operators on Fock-Sobolev spaces of nonnegative orders. We generalize the results in \cite{Bauer1,Qin}. For th…

math.FA2021

Bounded Hankel products on Fock-Sobolev spaces

Jie Qin

Let $F^{2, m}$ denote the Fock-Sobolev space of complex plane. The purpose of this paper is to study the conjecture which was shown to be false for Fock space by Ma-Yan-Zheng-Zhu in…

math.FA2021

Semi-commuting Toeplitz Operators on Fock-Sobolev spaces

Jie Qin

Let $F^{2, m} (C)$ denote the Fock-Sobolev space of complex plane. In this paper, we characterize the semi-commutator of two Toeplitz operators on $F^{2, m} (C)$ is z…