Weighted weak type inequalities for certain maximal functions

Aimar, Hugo, and Forzani, Liliana. "Weighted weak type inequalities for certain maximal functions." Studia Mathematica 101.1 (1991): 105-111. <http://eudml.org/doc/215889>.

@article{Aimar1991,
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.},
author = {Aimar, Hugo, Forzani, Liliana},
journal = {Studia Mathematica},
keywords = {weighted weak type inequalities; maximal functions},
language = {eng},
number = {1},
pages = {105-111},
title = {Weighted weak type inequalities for certain maximal functions},
url = {http://eudml.org/doc/215889},
volume = {101},
year = {1991},
}

TY - JOUR
AU - Aimar, Hugo
AU - Forzani, Liliana
TI - Weighted weak type inequalities for certain maximal functions
JO - Studia Mathematica
PY - 1991
VL - 101
IS - 1
SP - 105
EP - 111
AB - 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.
LA - eng
KW - weighted weak type inequalities; maximal functions
UR - http://eudml.org/doc/215889
ER -