45 citations · 187 across the 43 of their papers we have counts for
4 papers · 1 filter
Sharp reversed Hardy--Littlewood--Sobolev inequality on the half space
Quôc-Anh Ngô, Van Hoang Nguyen
This is the second in our series of papers concerning some reversed Hardy--Littlewood--Sobolev inequalities. In the present work, we establish the following sharp reversed Hardy--L…
Sharp reversed Hardy-Littlewood-Sobolev inequality on
Quôc-Anh Ngô, Van Hoang Nguyen
This is the first in our series of papers concerning some Hardy-Littlewood-Sobolev type inequalities. In the present paper, the main objective is to establish the following sharp r…
Improved mixed volume inequality for convex bodies
Van Hoang Nguyen
A sharp quantitative version of the mixed volume inequality is established. This is achieved by exploiting an improved Jensen inequality. This inequality is a generalization…
New approach to the affine Pólya-Szegö principle and the stability version of the affine Sobolev inequality
Van Hoang Nguyen
Inspired by a recent work of Haddad, Jiménez and Montenegro, we give a new and simple approach to the recently established general affine Pólya-Szegö principle. Our approach is bas…