Tien Trong Pham

activity

20152026

p

-harmonic

ℓ

-forms on Riemannian manifolds

1 citations · 1 across the 5 of their papers we have counts for

collaborators

8 papers

math.CV2026

Sharp Gaussian Mixed-Norm Theory for Fock Spaces

Xiang Fang, Pham Trong Tien

We develop a structural theory of the Gaussian mixed-norm Fock spaces $F_{α}^{p, q}$ , where $α > 0$ and $0 < p, q \leq \infty$ , which separate angular $L^{p}$ -means from radial Gaussi…

math.CV2026

Sampling and Interpolation in Gaussian Mixed-Norm Fock Spaces

Xiang Fang, Pham Trong Tien

We establish sharp sampling and interpolation criteria for the radial--angular Gaussian mixed-norm Fock spaces $F_{α}^{p, q}$ , where $α > 0$ and $0 < p, q \leq \infty$ . The natural p…

math.FA2023

Complex symmetry in the Fock space of several variables

Pham Viet Hai, Pham Trong Tien

In this paper we study the complex symmetry in the several variable Fock space by using the techniques of weighted composition operators and semigroups. We characterize unbounded w…

math.CV2019

Bergman-Toeplitz operators between weighted $L^{p}$ -spaces on weakly pseudoconvex domains

Tran Vu Khanh, Pham Trong Tien

In this paper we study the Bergman-Toeplitz operator $T_{ψ}$ induced by $ψ (w) = K_{Ω}^{- α} (w, w) d_{Ω}^{β} (w)$ with $α, β \geq 0$ acting from a weighted $L^{p}$ -space $L_{a}^{p} (Ω)$ to another one…

math.CV2018

Weighted composition operators between Fock spaces in several variables

Pham Trong Tien, Le Hai Khoi

We obtain criteria for the boundedness and compactness of weighted composition operators between different Fock spaces in $C^{n}$ . We also give estimates for essential norm…

math.DG2017★ 1 cited

Vanishing properties of $p$ -harmonic $ℓ$ -forms on Riemannian manifolds

Nguyen Thac Dung, Pham Trong Tien

In this paper, we show several vanishing type theorems for $p$ -harmonic $ℓ$ -forms on Riemannian manifolds ( $p \geq 2$ ). First of all, we consider complete non-compact immersed sub…

math.CV2017

Weighted composition operators between different Fock spaces

Pham Trong Tien, Le Hai Khoi

We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of c…

math.FA2015

Differentiation and integration operators on weighted Banach spaces of holomorphic functions

Alexander V. Abanin, Pham Trong Tien

We show that some previous results concerning the boundedness of differentiation and integration operators on weighted spaces given by radial weights in the unit disk or the comple…