Weighted weak type inequalities for certain maximal functions

Volume 101 / 1991

Hugo Aimar Studia Mathematica 101 (1991), 105-111 DOI: 10.4064/sm-101-1-105-111

Abstract

We give an A_p type characterization for the pairs of weights (w,v) for which the maximal operator Mf(y) = sup 1/(b-a) ʃ_a^b |f(x)|dx, where the supremum is taken over all intervals [a,b] such that 0 ≤ a ≤ y ≤ b/ψ(b-a), is of weak type (p,p) with weights (w,v). Here ψ is a nonincreasing function such that ψ(0) = 1 and ψ(∞) = 0.

Authors

  • Hugo Aimar

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