Weighted weak type inequalities for certain maximal functions
Studia Mathematica, Tome 101 (1991) no. 1, pp. 105-111
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.
@article{10_4064_sm_101_1_105_111,
author = {Hugo Aimar},
title = {Weighted weak type inequalities for certain maximal functions},
journal = {Studia Mathematica},
pages = {105--111},
year = {1991},
volume = {101},
number = {1},
doi = {10.4064/sm-101-1-105-111},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-101-1-105-111/}
}
TY - JOUR AU - Hugo Aimar TI - Weighted weak type inequalities for certain maximal functions JO - Studia Mathematica PY - 1991 SP - 105 EP - 111 VL - 101 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-101-1-105-111/ DO - 10.4064/sm-101-1-105-111 LA - en ID - 10_4064_sm_101_1_105_111 ER -
Hugo Aimar. Weighted weak type inequalities for certain maximal functions. Studia Mathematica, Tome 101 (1991) no. 1, pp. 105-111. doi: 10.4064/sm-101-1-105-111
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