Characterization of the atomic space $H^1$ for non doubling measures in terms of a grand maximal operator

Details Characterization of the atomic space $H^1$ for non doubling measures in terms of a grand maximal operator Characterization of the atomic space $H^1$ for non doubling measures in terms of a grand maximal operator

2000-05-06

arxiv.org/abs/math/0005060v1

Mathematics

Classical Analysis and ODEs

47 pages

Scientific paper

Let $\mu$ be a Radon measure on $R^d$, which may be non doubling. The only condition that $\mu$ must satisfy is $\mu(B(x,r))\leq C r^n$, for all $x,r$ and for some fixed $0

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