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Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases
(American Mathematical Society, 2015-11)
Let B be a homothecy invariant collection of convex sets in Rn. Given a measure μ, the associated weighted geometric maximal operator MB,μ is defined by MB,μf(x) := sup x∈B∈B 1/μ(B) B |f|dμ. It is shown that, provided μ ...