H. Dan

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20162021

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Showing 2019 · math.FAShow all

3 papers · 2 filters

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…

math.FA2019

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 $ψ \in L^{2} (0, 1)$ , the dilation system ${ψ (k x) : k = 1, 2, \dots}$ is complete in $L^2(…

math.FA2019

Dilation theory and analytic model theory for doubly commuting sequences of $C_{.0}$ -contractions

Hui Dan, Kunyu Guo

Sz.-Nagy and Foias proved that each $C_{\cdot 0}$ -contraction has a dilation to a Hardy shift and thus established an elegant analytic functional model for contractions of class $C_…

A Sharp Inequality of Hardy-Littlewood Type Via Derivatives

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

Dilation theory and analytic model theory for doubly commuting sequences of C.0​-contractions

Dilation theory and analytic model theory for doubly commuting sequences of $C_{.0}$ -contractions