Homogeneous Triebel-Lizorkin spaces on stratified Lie groups
Summary: Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decompositions. It is shown that the scale of these spaces is independent of the choice of Littlewood-Paley-type decompositions and the sub-Laplacian used for the construction of the decomposition. Some basic properties of these spaces are given. As the main result of this paper, the boundedness of a class of singular integral operators on these function spaces is obtained.
scientific article; zbMATH DE number 6167899
scientific article