Parabolic John-Nirenberg spaces with time lag
Classical Analysis and ODEs
2023-10-03 v1 Analysis of PDEs
Functional Analysis
Abstract
We introduce a parabolic version of the so-called John-Nirenberg space that is a generalization of functions of parabolic bounded mean oscillation. Parabolic John-Nirenberg inequalities, which give weak type estimates for the oscillation of a function, are shown in the setting of the parabolic geometry with a time lag. Our arguments are based on a parabolic Calder\'{o}n-Zygmund decomposition and a good lambda estimate. Chaining arguments are applied to change the time lag in the parabolic John-Nirenberg inequality.
Keywords
Cite
@article{arxiv.2310.00959,
title = {Parabolic John-Nirenberg spaces with time lag},
author = {Kim Myyryläinen and Dachun Yang},
journal= {arXiv preprint arXiv:2310.00959},
year = {2023}
}
Comments
17 pages. arXiv admin note: substantial text overlap with arXiv:2202.06321, arXiv:2306.07600