Characterizations of parabolic reverse H\"older classes
Classical Analysis and ODEs
2024-05-30 v2 Analysis of PDEs
Abstract
This paper discusses parabolic reverse H\"older inequalities and their connections to parabolic Muckenhoupt weights. The main result gives several characterizations for this class of weights. There are challenging features related to the parabolic geometry and the time lag, for example, in covering and chaining arguments. We also prove a Gehring type self-improving property for parabolic reverse H\"older inequalities.
Cite
@article{arxiv.2310.00370,
title = {Characterizations of parabolic reverse H\"older classes},
author = {Juha Kinnunen and Kim Myyryläinen},
journal= {arXiv preprint arXiv:2310.00370},
year = {2024}
}
Comments
35 pages. arXiv admin note: substantial text overlap with arXiv:2306.07600