On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces
Classical Analysis and ODEs
2017-09-20 v1
Abstract
In this article we characterize all possible cases that may occur in the relations between the sets of for which weak type and strong type inequalities for the Hardy--Littlewood maximal operators, both centered and non-centered, hold in the context of general metric measure spaces.
Keywords
Cite
@article{arxiv.1709.06357,
title = {On relations between weak and strong type inequalities for maximal operators on non-doubling metric measure spaces},
author = {Dariusz Kosz},
journal= {arXiv preprint arXiv:1709.06357},
year = {2017}
}
Comments
14 pages, to appear in Publicacions Matem\`atiques