18 citations · 19 across the 4 of their papers we have counts for
Showing 2014Show all
2 papers · 1 filter
math.FA2014
Existence of optimizers of the Stein-Weiss inequalities on Carnot groups
Tingxi Hu, Pengcheng Niu
This paper proves existence of optimizers of the Stein-Weiss inequalities on Carnot groups under some conditions. The adjustment of Lions' concentration compactness principles to C…
math.AP2014
Schauder estimates for solutions of sub-Laplace equations with Dini terms
Tingxi Hu, Pengcheng Niu
In this paper we establish Schauder estimates for the sublalpace equation \[Σ_{j = 1}^mX_j^2u = f,\] where is a system of smooth vector field which gen…