Radial maximal function characterizations for Hardy spaces on RD-spaces
摘要
An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. The authors prove that for a space of homogeneous type X having "dimension" n, there exists a p 0 (n/(n + 1), 1) such that for certain classes of distributions, the L p (X ) quasi-norms of their radial maximal functions and grand maximal functions are equivalent when p (p 0 , ]. This result yields a radial maximal function characterization for Hardy spaces on X .
引用本文（GB/T 7714）
Loukas Grafakos, Liguang Liu, Dachun Yang. Radial maximal function characterizations for Hardy spaces on RD-spaces[J]. Bulletin de la Société mathématique de France, 2009.
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