V. H. Nguyen

activity

20122026

most citedSharp reversed Hardy-Littlewood-Sobolev inequality on

R^{n}

45 citations · 187 across the 43 of their papers we have counts for

collaborators

Showing math.FAShow all

31 papers · 1 filter

math.FA2021★ 2 cited

The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle

Anh Tuan Duong, Van Hoang Nguyen

In this paper we prove a class of second order Caffarelli-Kohn-Nirenberg inequalities which contains the sharp second order uncertainty principle recently established by Cazacu, Fl…

math.FA2020★ 2 cited

An optimal Hardy-Littlewood-Sobolev inequality on $R^{n - k} \times R^{n}$ and its consequences

Quôc Anh Ngô, Quoc-Hung Nguyen, Van Hoang Nguyen

For $n > k \geq 0$ , $λ > 0$ , and $p, r > 1$ , we establish the following optimal Hardy-Littlewood-Sobolev inequality \[ \Big| \iint_{\mathbf R^n \times \mathbf R^{n-k}} \frac{f(x) g(y)}…

math.FA2020

The sharp Sobolev type inequalities in the Lorentz--Sobolev spaces in the hyperbolic spaces

Van Hoang Nguyen

Let $W^{1} L^{p, q} (H^{n})$ , $1 \leq q, p < \infty$ denote the Lorentz-Sobolev spaces of order one in the hyperbolic spaces $H^{n}$ . Our aim in this paper is three-fold. Firs…

math.FA2020★ 1 cited

The sharp Adams type inequalities in the hyperbolic spaces under the Lorentz-Sobolev norms

Van Hoang Nguyen

Let $2 \leq m < n$ and $q \in (1, \infty)$ , we denote by $W^{m} L^{\frac{n}{m}, q} (H^{n})$ the Lorentz-Sobolev space of order $m$ in the hyperbolic space $H^{n}$ . In this paper,…

math.FA2020

The sharp higher order Lorentz--Poincaré and Lorentz--Sobolev inequalities in the hyperbolic spaces

Van Hoang Nguyen

In this paper, we study the sharp Poincaré inequality and the Sobolev inequalities in the higher order Lorentz--Sobolev spaces in the hyperbolic spaces. These results generalize th…

math.FA2019

The sharp Hardy--Moser--Trudinger inequality in dimension $n$

Van Hoang Nguyen

In this paper, we prove a Hardy--Moser--Trudinger inequality in the unit ball $B^{n}$ in $R^{n}$ which improves both the classical singular Moser--Trudinger inequality…

math.FA2019★ 1 cited

The Leray--Adams inequality

Van Hoang Nguyen

In this paper, we establish the following Leray--Adams type inequality on a bounded domain $Ω$ in $R^{4}$ containing the origin, \[ \sup_{u\in C_0^\infty(Ω), \tilde I_4[u,Ω…

math.FA2018

$Φ -$ entropy inequalities and asymmetric covariance estimates for convex measures

Van Hoang Nguyen

In this paper, we use the semi-group method and an adaptation of the $L^{2} -$ method of Hörmander to establish some $Φ -$ entropy inequalities and asymmetric covariance estimates for th…

math.FA2018

Sharp Gagliardo--Nirenberg trace inequalities via mass transportion method and their affine versions

Van Hoang Nguyen

Exploiting the mass transportation method, we prove a dual principle which implies directly the sharp Gagliardo-Nirenberg trace inequalities which was recently proved by Bolley et…

math.FA2018

Second order Sobolev type inequalities in the hyperbolic spaces

Van Hoang Nguyen

We establish several Poincaré--Sobolev type inequalities for the Lapalce--Beltrami operator $Δ_{g}$ in the hyperbolic space $H^{n}$ with $n \geq 5$ . These inequalities could be…

math.FA2018

The sharp Poincaré--Sobolev type inequalities in the hyperbolic spaces $H^{n}$

Van Hoang Nguyen

In this note, we establish a $L^{p} -$ version of the Poincaré--Sobolev inequalities in the hyperbolic spaces $H^{n}$ . The interest of this result is that it relates both the Poi…

math.FA2017

Sharp Caffarelli-Kohn-Nirenberg inequalities on Riemannian manifolds: the influence of curvature

Van Hoang Nguyen

We first establish a family of sharp Caffarelli-Kohn-Nirenberg type inequalities on the Euclidean spaces and then extend them to the setting of Cartan-Hadamard manifolds with the s…

math.FA2017★ 2 cited

Sharp Hardy and Rellich type inequalities on Cartan--Hadamard manifolds and their improvements

Van Hoang Nguyen

In this paper, we prove several new Hardy type inequalities (such as the weighted Hardy inequality, weighted Rellich inequality, critical Hardy inequality and critical Rellich ineq…

math.FA2017

Improved Moser-Trudinger type inequalities in the hyperbolic space $H^{n}$

Van Hoang Nguyen

We establish an improved version of the Moser-Trudinger inequality in the hyperbolic space $H^{n}$ , $n \geq 2$ . Namely, we prove the following result: for any $0 \leq λ< \left…

math.FA2017★ 3 cited

The sharp higher order Hardy--Rellich type inequalities on the homogeneous groups

Van Hoang Nguyen

We prove several interesting equalities for the integrals of higher order derivatives on the homogeneous groups. As consequences, we obtain the sharp Hardy--Rellich type inequaliti…

math.FA2017

Improved Moser--Trudinger inequality for functions with mean value zero in $R^{n}$ and its extremal functions

Van Hoang Nguyen

Let $Ω$ be a bounded smooth domain in $R^{n}$ , $W^{1, n} (Ω)$ be the Sobolev space on $Ω$ , and $λ (Ω) = in f {∥\nabla u ∥_{n}^{n} : \int_{Ω} u d x = 0, ∥ u ∥_{n} = 1}$ be the first nonzero…

math.FA2017★ 1 cited

Extremal functions for the sharp Moser--Trudinger type inequalities in whole space $R^{N}$

Van Hoang Nguyen

This paper is devoted to study the sharp Moser-Trudinger type inequalities in whole space $R^{N}$ , $N \geq 2$ in more general case. We first compute explicitly the \emph{norm…

math.FA2017

Maximizers for the variational problems associated with Sobolev type inequalities under constraints

Van Hoang Nguyen

We propose a new approach to study the existence and non-existence of maximizers for the variational problems associated with Sobolev type inequalities both in the subcritical case…

math.FA2017

The sharp Gagliardo--Nirenberg--Sobolev inequality in quantitative form

Van Hoang Nguyen

Using a dimension reduction argument and a stability version of the weighted Sobolev inequality on half space recently proved by Seuffert, we establish, in this paper, some stabili…

math.FA2017★ 5 cited

Extremal functions for the Moser--Trudinger inequality of Adimurthi--Druet type in $W^{1, N} (R^{N})$

Van Hoang Nguyen

We study the existence and nonexistence of maximizers for variational problem concerning to the Moser--Trudinger inequality of Adimurthi--Druet type in $W^{1, N} (R^{N})$ \[ MT…

math.FA2017★ 5 cited

A sharp Adams inequality in dimension four and its extremal functions

Van Hoang Nguyen

Let $Ω$ be a smooth oriented bounded domain in $R^{4}$ , $H_{0}^{2} (Ω)$ be the Sobolev space, and $λ_{1} (Ω) = in f {∥Δ u ∥_{2}^{2} : u \in H_{0}^{2} (Ω), ∥ u ∥_{2} = 1}$ be the first eigenvalue…

math.FA2016

Orlicz--Lorentz centroid bodies

Van Hoang Nguyen

We extend the definition of the centroid body operator to an Orlicz--Lorentz centroid body operator on the star bodies in $R^{n}$ , and establish the sharp affine isoperimetri…

math.FA2016★ 12 cited

Sharp constant for Poincaré-type inequalities in the hyperbolic space

Quôc-Anh Ngô, Van Hoang Nguyen

In this note, we establish a Poincaré-type inequality on the hyperbolic space $H^{n}$ , namely \[ \|u\|_{p} \leqslant C(n,m,p) \|\nabla^m_g u\|_{p} \] for any $u \in W^{m,p}(\…

math.FA2016

Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type inequalities

Van Hoang Nguyen

We prove a trace Hardy type inequality with the best constant on the polyhedral convex cones which generalizes recent results of Alvino et al. and of Tzirakis on the upper half spa…

The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty principle

An optimal Hardy-Littlewood-Sobolev inequality on Rn−k×Rn and its consequences

The sharp Sobolev type inequalities in the Lorentz--Sobolev spaces in the hyperbolic spaces

The sharp Adams type inequalities in the hyperbolic spaces under the Lorentz-Sobolev norms

The sharp higher order Lorentz--Poincaré and Lorentz--Sobolev inequalities in the hyperbolic spaces

The sharp Hardy--Moser--Trudinger inequality in dimension n

The Leray--Adams inequality

Φ−entropy inequalities and asymmetric covariance estimates for convex measures

Sharp Gagliardo--Nirenberg trace inequalities via mass transportion method and their affine versions

Second order Sobolev type inequalities in the hyperbolic spaces

The sharp Poincaré--Sobolev type inequalities in the hyperbolic spaces Hn

Sharp Caffarelli-Kohn-Nirenberg inequalities on Riemannian manifolds: the influence of curvature

Sharp Hardy and Rellich type inequalities on Cartan--Hadamard manifolds and their improvements

Improved Moser-Trudinger type inequalities in the hyperbolic space Hn

The sharp higher order Hardy--Rellich type inequalities on the homogeneous groups

Improved Moser--Trudinger inequality for functions with mean value zero in Rn and its extremal functions

Extremal functions for the sharp Moser--Trudinger type inequalities in whole space RN

Maximizers for the variational problems associated with Sobolev type inequalities under constraints

The sharp Gagliardo--Nirenberg--Sobolev inequality in quantitative form

Extremal functions for the Moser--Trudinger inequality of Adimurthi--Druet type in W1,N(RN)

A sharp Adams inequality in dimension four and its extremal functions

Orlicz--Lorentz centroid bodies

Sharp constant for Poincaré-type inequalities in the hyperbolic space

Some trace Hardy type inequalities and trace Hardy-Sobolev-Maz'ya type inequalities

An optimal Hardy-Littlewood-Sobolev inequality on $R^{n - k} \times R^{n}$ and its consequences

The sharp Hardy--Moser--Trudinger inequality in dimension $n$

$Φ -$ entropy inequalities and asymmetric covariance estimates for convex measures

The sharp Poincaré--Sobolev type inequalities in the hyperbolic spaces $H^{n}$

Improved Moser-Trudinger type inequalities in the hyperbolic space $H^{n}$

Improved Moser--Trudinger inequality for functions with mean value zero in $R^{n}$ and its extremal functions

Extremal functions for the sharp Moser--Trudinger type inequalities in whole space $R^{N}$

Extremal functions for the Moser--Trudinger inequality of Adimurthi--Druet type in $W^{1, N} (R^{N})$