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arXiv · 2310.00959

Parabolic John-Nirenberg spaces with time lag

Kim Myyryläinen·Dachun Yang
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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.

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Kim Myyryläinen, Dachun Yang. 2023-10-02. Parabolic John-Nirenberg spaces with time lag. https://arxiv.org/abs/2310.00959

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