Homogeneous Besov and Triebel-Lizorkin spaces are defined on arbitrary homogeneous groups for all p,q,sigma, proved independent of the Littlewood-Paley decomposition, and characterized by maximal functions and molecular decompositions.
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Besov and Triebel-Lizorkin spaces on homogeneous groups
Homogeneous Besov and Triebel-Lizorkin spaces are defined on arbitrary homogeneous groups for all p,q,sigma, proved independent of the Littlewood-Paley decomposition, and characterized by maximal functions and molecular decompositions.