Minimal conditions for BMO
Classical Analysis and ODEs
2020-07-21 v1
Abstract
We study minimal integrability conditions via Luxemburg-type expressions with respect to generalized oscillations that imply the membership of a given function to the space BMO. Our method is simple, sharp and flexible enough to be adapted to several different settings, like spaces of homogeneous type, non doubling measures on and also BMO spaces defined over more general bases than the basis of cubes.
Keywords
Cite
@article{arxiv.2007.10104,
title = {Minimal conditions for BMO},
author = {Javier Canto and Carlos Perez and Ezequiel Rela},
journal= {arXiv preprint arXiv:2007.10104},
year = {2020}
}