6 papers · 1 filter
Invariant subspaces of weighted Bergman spaces in infinitely many variables
Hui Dan, Kunyu Guo, Jiaqi Ni
This paper is concerned with polynomially generated multiplier invariant subspaces of the weighted Bergman space in infinitely many variables. We completely cl…
Projections in Toeplitz algebra
Hui Dan, Xuanhao Ding, Kunyu Guo +1
Motivated by Barr{\'ı}a-Halmos's \cite[Question 19]{barria1982asymptotic} and Halmos's \cite[Problem 237]{Halmos1978A}, we explore projections in Toeplitz algebra on the Hardy spac…
Power dilation systems in Dirichlet-type spaces
Hui Dan, Kunyu Guo
In this paper, we concentrate on power dilation systems in Dirichlet-type spaces . When , we prove that $\{f(…
A Sharp Inequality of Hardy-Littlewood Type Via Derivatives
Hui Dan, Kunyu Guo, Yi Wang
In this paper we consider a generalized version of Carleman's inequality. An equivalent version of it states that , where is a holomorphic func…
The Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk
Hui Dan, Kunyu Guo
The classical completeness problem raised by Beurling and independently by Wintner asks for which , the dilation system is complete in $L^2(…
Dilation theory and analytic model theory for doubly commuting sequences of -contractions
Hui Dan, Kunyu Guo
Sz.-Nagy and Foias proved that each -contraction has a dilation to a Hardy shift and thus established an elegant analytic functional model for contractions of class $C_…