5 papers
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 [JFA, 261 (2011), 9, 2617--2640]. For , we construct two bounded…
The Brown-Halmos theorems on the Fock space
Jie Qin
In this paper, we extend the Brown-Halmos theorems to the Fock space and investigate the range of the Berezin transform. We observe that there are non-pluriharmonic functions t…
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…
Bounded Hankel products on Fock-Sobolev spaces
Jie Qin
Let 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…
Semi-commuting Toeplitz Operators on Fock-Sobolev spaces
Jie Qin
Let denote the Fock-Sobolev space of complex plane. In this paper, we characterize the semi-commutator of two Toeplitz operators on is z…