RT Journal Article
T1 Fefferman-Stein inequalities for the Hardy-Littlewood maximal function on the infinite rooted k-ary tree.
A1 Ombrosi, Sheldy J.
A1 Rivera Ríos, Israel P.
A1 Safe, Martín D.
K1 Análisis matemático
K1 Desigualdades (Matemáticas)
AB In this paper weighted endpoint estimates for the Hardy-Littlewood maximalfunction on the infinite rooted k-ary tree are provided. Motivated by Naor and Tao [23] thefollowing Fefferman-Stein estimatew ({x ∈ T : Mf(x) > λ}) ≤ cs1λZT|f(x)|M(ws)(x)1s dx s > 1is settled and moreover it is shown it is sharp, in the sense that it does not hold in generalif s = 1. Some examples of non trivial weights such that the weighted weak type (1, 1)estimate holds are provided. A strong Fefferman-Stein type estimate and as a consequencesome vector valued extensions are obtained. In the Appendix a weighted counterpart of theabstract theorem of Soria and Tradacete on infinite trees [38] is established.
PB Oxford Academic
YR 2020
FD 2020-08-27
LK https://hdl.handle.net/10630/35450
UL https://hdl.handle.net/10630/35450
LA eng
NO Sheldy Ombrosi, Israel P Rivera-Ríos, Martín D Safe, Fefferman–Stein Inequalities for the Hardy–Littlewood Maximal Function on the Infinite Rooted k-ary Tree, International Mathematics Research Notices, Volume 2021, Issue 4, February 2021, Pages 2736–2762, https://doi.org/10.1093/imrn/rnaa220
NO https://openpolicyfinder.jisc.ac.uk/id/publication/612
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026