21 citations · 27 across the 6 of their papers we have counts for
6 papers
Totally Abelian Toeplitz operators and geometric invariants associated with their symbol curves
Hui Dan, Kunyu Guo, Hansong Huang
This paper mainly studies totally Abelian operators in the context of analytic Toeplitz operators on both the Hardy and Bergman space. When the symbol is a meromorphic function on…
A tuple of multiplication operators defined by twisted holomorphic proper maps
Pan Ma, Hansong Huang
This paper mainly concerns the von Neumann algebras induced by a tuple of multiplication operators on Bergman spaces which arise essentially from holomorphic proper maps over highe…
Multiplication operators on the Bergman space of bounded domains in C^d
Hansong Huang, Dechao Zheng
In this paper we study multiplication operators on Bergman spaces of high dimensional bounded domains and those von Neumann algebras induced by them via the geometry of domains and…
Multiplication operators defined by a class of polynomials on L_a^2(D^2)
Hui Dan, Hansong Huang
In this paper, we consider those multiplication operators M_p on the Bergman space L_a^2(D^2) over the bidisk, defined by a class of polynomials p. Also, this paper consider the re…
Cowen's class and Thomson's class
Kunyu Guo, Hansong Huang
In studying commutants of analytic Toeplitz operators, Thomson proved a remarkable theorem which states that under a mild condition, the commutant of an analytic Toeplitz operator…
Geometric constructions of thin Blaschke products and reducing subspace problem
Kunyu Guo, Hansong Huang
In this paper, we mainly study geometric constructions of thin Blaschke products and reducing subspace problem of multiplication operators induced by such symbols on the Be…