In this paper, the properties of the maps for the Heisenberg group targets are studied. For u ∈ W^1,α (Ω, H^m), some Poincaré type inequalities are prove
Let M =(1 1 1 -1). In this paper, a necessary condition and an optimal sufficient condition on the orthogonality of M-wavelets are obtained by the introduction
In this paper, the authors study two classes of multilinear singular integralsand obtain their boundedness from Lebesgue spaces to Lipschitz spaces and from Her