5 citations · 17 across the 18 of their papers we have counts for
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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 , and establish the sharp affine isoperimetri…
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 , namely \[ \|u\|_{p} \leqslant C(n,m,p) \|\nabla^m_g u\|_{p} \] for any $u \in W^{m,p}(\…
Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space
Quôc-Anh Ngô, Van Hoang Nguyen
The purpose of this paper is to establish some Adams-Moser-Trudinger inequalities, which are the borderline cases of the Sobolev embedding, in the hyperbolic space . F…
An improvement for the sharp Adams inequalities in bounded domains and whole space
Van Hoang Nguyen
We prove an improvement for the sharp Adams inequality in where is a bounded domain in inspired by Lions Concentration--Compactness princip…
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…