Regularity of maximal operators: recent progress and some open problems
Classical Analysis and ODEs
2020-06-05 v1 Analysis of PDEs
Abstract
This is an expository paper on the regularity theory of maximal operators, when these act on Sobolev and BV functions, with a special focus on some of the current open problems in the topic. Overall, a list of fifteen research problems is presented. It summarizes the contents of a talk delivered by the author at the CIMPA 2017 Research School - Harmonic Analysis, Geometric Measure Theory and Applications, in Buenos Aires, Argentina.
Keywords
Cite
@article{arxiv.1912.04625,
title = {Regularity of maximal operators: recent progress and some open problems},
author = {Emanuel Carneiro},
journal= {arXiv preprint arXiv:1912.04625},
year = {2020}
}
Comments
19 pages. Expository paper with the contents of a lecture given at the in the CIMPA 2017 Research School - Harmonic Analysis, Geometric Measure Theory and Applications, in Buenos Aires, Argentina