Zhenhan Tu

activity

20142019

most citedOn canonical metrics on Cartan-Hartogs domains

29 citations · 111 across the 15 of their papers we have counts for

collaborators

15 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★ 8 cited

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.

math.CV2018★ 5 cited

Classification of proper holomorphic mappings between certain unbounded non-hyperbolic domains

Zhenhan Tu, Lei Wang

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

math.CV2017

The Schwarz Lemma at the Boundary of the Symmetrized Bidisc

Zhenhan Tu, Shuo Zhang

The symmetrized bidisc $G_{2}$ is defined by $G_{2} := {(z_{1} + z_{2}, z_{1} z_{2}) \in C^{2} : ∣ z_{1} ∣ < 1, ∣ z_{2} ∣ < 1, z_{1}, z_{2} \in C} .$ It is a bounded inhomoge…

math.CV2017

Remarks on the canonical metrics on the Cartan-Hartogs domains

Enchao Bi, Zhenhan Tu

The Cartan-Hartogs domains are defined as a class of Hartogs type domains over irreducible bounded symmetric domains. For a Cartan-Hartogs domain $Ω^{B} (μ)$ endowed with the natura…

math.CV2015

Balanced metrics on the Fock-Bargmann-Hartogs domains

Enchao Bi, Zhiming Feng, Zhenhan Tu

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

math.CV2014★ 27 cited

Rigidity of proper holomorphic mappings between certain unbounded non-hyperbolic domains

Zhenhan Tu, Lei Wang

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

math.CV2014★ 18 cited

Balanced metrics on some Hartogs type domains over bounded symmetric domains

Zhiming Feng, Zhenhan Tu

The definition of balanced metrics was originally given by Donaldson in the case of a compact polarized Kähler manifold in 2001, who also established the existence of such metrics…

math.CV2014★ 19 cited

Rigidity of proper holomorphic mappings between equidimensional Hua domains

Zhenhan Tu, Lei Wang

Hua domain, named after Chinese mathematician Loo-Keng Hua, is defined as a domain in $C^{n}$ fibered over an irreducible bounded symmetric domain $Ω\subset \mathbb{C}^{d}…

math.CV2014★ 5 cited

Rigidity of Proper Holomorphic Self-mappings of the Pentablock

Guicong Su, Zhenhan Tu, Lei Wang

The pentablock is a Hartogs domain over the symmetrized bidisc. The domain is a bounded inhomogeneous pseudoconvex domain, and does not have a $C^{1}$ boundary. Recently,…

math.CV2014★ 29 cited

On canonical metrics on Cartan-Hartogs domains

Zhiming Feng, Zhenhan Tu

The Cartan-Hartogs domains are defined as a class of Hartogs type domains over irreducible bounded symmetric domains. The purpose of this paper is twofold. Firstly, for a Cartan-Ha…

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

Classification of proper holomorphic mappings between certain unbounded non-hyperbolic domains

The Schwarz Lemma at the Boundary of the Symmetrized Bidisc

Remarks on the canonical metrics on the Cartan-Hartogs domains

Balanced metrics on the Fock-Bargmann-Hartogs domains

Rigidity of proper holomorphic mappings between certain unbounded non-hyperbolic domains

Balanced metrics on some Hartogs type domains over bounded symmetric domains

Rigidity of proper holomorphic mappings between equidimensional Hua domains

Rigidity of Proper Holomorphic Self-mappings of the Pentablock

On canonical metrics on Cartan-Hartogs domains

$L^{p}$ 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