Zhenhan Tu

activity

20172019

collaborators

9 papers

math.CV2019

$L^{p}$ regularity of weighted Bergman projection on Fock-Bargmann-Hartogs domain

Le He, Yanyan Tang, Zhenhan Tu

The Fock-Bargmann-Hartogs domain $D_{n, m} (μ)$ is defined by $D_{n, m} (μ) := {(z, w) \in C^{n} \times C^{m} : ∥ w ∥^{2} < e^{- μ ∥ z ∥^{2}}},$ where $μ > 0.$ The…

math.CV2019

Special Toeplitz operators on a class of bounded Hartogs domains

Yanyan Tang, Zhenhan Tu

We introduce a wider class of bounded Hartogs domains, which contains some generalizations of the classical Hartogs triangle. A sharp criteria for the $L^{p} - L^{q}$ boundedness of the…

math.CV2018

Rigidity of proper holomorphic mappings between generalized Fock-Bargmann-Hartogs domains

Enchao Bi, Zhenhan Tu

A generalized Fock-Bargmann-Hartogs domain $D_{n}^{m, p}$ is defined as a domain fibered over $C^{n}$ with the fiber over $z \in C^{n}$ being a gene…

math.CV2018

The Kobayashi pseudometric for the Fock-Bargmann-Hartogs domain and its application

Enchao Bi, Guicong Su, Zhenhan Tu

The Fock-Bargmann-Hartogs domain $D_{n, m}$ in $C^{n + m}$ is defined by the inequality $∥ w ∥^{2} < e^{- ∥ z ∥^{2}},$ where $(z, w) \in C^{n} \times C^{m}$ , which is an…

math.CV2018

Rawnsley's $ε$ -function on some Hartogs type domains over bounded symmetric domains and its applications

Enchao Bi, Zhiming Feng, Guicong Su +1

The purpose of this paper is twofold. Firstly, we will compute the explicit expression of the Rawnsley's $ε$ -function $ε_{(α, g (μ; ν))}$ of $\big(\big(\prod_{j=1}…

math.CV2018

Kähler submanifolds of the symmetrized polydisc

Guicong Su, Yanyan Tang, Zhenhan Tu

This paper proves the non-existence of common Kähler submanifolds of the complex Euclidean space and the symmetrized polydisc endowed with their canonical metrics.

Lp regularity of weighted Bergman projection on Fock-Bargmann-Hartogs domain

Special Toeplitz operators on a class of bounded Hartogs domains

Rigidity of proper holomorphic mappings between generalized Fock-Bargmann-Hartogs domains

The Kobayashi pseudometric for the Fock-Bargmann-Hartogs domain and its application

Rawnsley's ε-function on some Hartogs type domains over bounded symmetric domains and its applications

Kähler submanifolds of the symmetrized polydisc

$L^{p}$ regularity of weighted Bergman projection on Fock-Bargmann-Hartogs domain

Rawnsley's $ε$ -function on some Hartogs type domains over bounded symmetric domains and its applications