H. Dan

activity

20142026

most citedThe Periodic Dilation Completeness Problem: Cyclic vectors in the Hardy space over the infinite-dimensional polydisk

3 citations · 3 across the 9 of their papers we have counts for

collaborators

10 papers

math.FA2026

Weighted Frames and the Douglas-Foias problem

Hui Dan, Kunyu Guo, Dilong Li

Let $T = (T_{1}, \dots, T_{n})$ be a commuting tuple of bounded linear operators on a separable Hilbert space $K$ , and let ${a_{α}}_{α \in Z_{+}^{n}}$ be strictly po…

math.FA2021

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 $A_{β}^{2}$ in infinitely many variables. We completely cl…

math.FA2020

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…

math.FA2020

Power dilation systems ${f (z^{k})}_{k \in N}$ in Dirichlet-type spaces

Hui Dan, Kunyu Guo

In this paper, we concentrate on power dilation systems ${f (z^{k})}_{k \in N}$ in Dirichlet-type spaces $D_{t} (t \in R)$ . When $t \neq = 0$ , we prove that $\{f(…

math.CA2020

The Kozlov completeness problem

Hui Dan, Kunyu Guo

This paper concerns a long-standing problem raised by Kozlov on completeness of the dilation systems ${1_{(α, β)} (k x) : k = 1, 2, \dots}$ generated by odd periodic extensions…

math.FA2019

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 $∥ f ∥_{A_{α}^{2 α}} \leq ∥ f ∥_{H^{2}}$ , where $f$ is a holomorphic func…