Parabolic John-Nirenberg spaces

TL;DR

This paper introduces a parabolic variant of John-Nirenberg spaces with exponent p and demonstrates its inclusion in local weak-L^p spaces, expanding the understanding of function space relationships.

Contribution

It defines a new parabolic John-Nirenberg space and establishes its embedding into local weak-L^p spaces, providing novel insights into parabolic function spaces.

Findings

Parabolic John-Nirenberg space is contained in local weak-L^p spaces.

The paper establishes the embedding relationship between these spaces.

Abstract

We introduce a parabolic version of John-Nirenberg space with exponent $p$ and show that it is contained in local weak-$L^p$ spaces.