Parabolic BMO and the forward-in-time maximal operator
Analysis of PDEs
2021-02-23 v1 Classical Analysis and ODEs
Abstract
We study if the parabolic forward-in-time maximal operator is bounded on parabolic BMO. It turns out that for non-negative functions the answer is positive, but the behaviour of sign changing functions is more delicate. The class parabolic BMO and the forward-in-time maximal operator originate from the regularity theory of nonlinear parabolic partial differential equations. In addition to that context, we also study the question in dimension one.
Keywords
Cite
@article{arxiv.1603.04452,
title = {Parabolic BMO and the forward-in-time maximal operator},
author = {Olli Saari},
journal= {arXiv preprint arXiv:1603.04452},
year = {2021}
}
Comments
23 pages, 3 figures