A Characterization of Haj lasz-Sobolev and Triebel-Lizorkin Spaces via Grand Littlewood-Paley Functions
نویسندگان
چکیده
In this paper, we establish the equivalence between the Haj lasz-Sobolev spaces or classical Triebel-Lizorkin spaces and a class of grand Triebel-Lizorkin spaces on Euclidean spaces and also on metric spaces that are both doubling and reverse doubling. In particular, when p ∈ (n/(n + 1),∞), we give a new characterization of the Haj laszSobolev spaces Ṁ (R) via a grand Littlewood-Paley function.
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