Degenerate p-Laplacian operators on H-type groups and applications to Hardy type inequalities

Yongyang Jin, Genkai Zhang

Let $\mathbb{G}$ be a step-two nilpotent group of H-type with Lie algebra $\mathfrak{G}=V\oplus \mathfrak{t}$. We define a class of vector fields $X=\{X_j\}$ on $\mathbb{G}$ depending…