Abstract

Let $\Omega\subseteq\mathbb{R}^{m}$ be a bounded domain, $X=\{X_{1},X_{2},\cdots,X_{k_{0}}\}$ be a H\"{o}mander family of vector fields on $\Omega$ whose homogeneous dimension is $Q$. In this paper, we improve the dual inequality obtained by P. Hajlasz and P. Strzelecki in 1998, and take use of it to discuss regularity of weakly subelliptic F-harmonic maps into Riemannian manifolds with transitive isometric transformation groups.

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