3 papers
math.FA2020
The Beurling-type theorem in the Bergman space for any
Junfeng Liu
In this paper, we use a new method to solve a long-standing problem. More specifically, we show that the Beurling-type theorem holds in the Bergman space for any $-1<α<…
math.FA2018
On the structure of invariant subspaces for the shift operator on Bergman spaces
Junfeng Liu
It is well known that the structure of nontrival invariant subspaces for the shift operator on the Bergman space is extremely complicated and very little is known about their speci…
math.FA2018
On Invariant Subspaces of Subdecomposable Operators
Junfeng Liu, Songxiao Li
In this paper, we prove the Mohebi-Radjabalipour Conjecture under a little additional condition, and obtain a new invariant subspace theorem for subdecomposable operators. Our main…