5 papers
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_…