On the pointwise domination of a function by its maximal function
Classical Analysis and ODEs
2018-12-06 v2
Abstract
We show that under rather general circumstances, the almost everywhere pointwise inequality is equivalent to a weak form of the Lebesgue density theorem, for totally bounded closed sets. We derive both positive and negative results from this characterization.
Cite
@article{arxiv.1710.02033,
title = {On the pointwise domination of a function by its maximal function},
author = {J. M. Aldaz},
journal= {arXiv preprint arXiv:1710.02033},
year = {2018}
}
Comments
13 pages, incorporates suggestions by a referee