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arXiv · 2409.18354

Gaussian $\text{JN}_p$ spaces

Jorge J. Betancor·Estefanía Dalmasso·Pablo Quijano
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Abstract

In this paper we introduce the John-Nirenberg's type spaces $\text{JN}_p$ associated with the Gaussian measure $d\gamma(x) = \pi^{-d/2}e^{-|x|^2}dx$ in $\mathbb{R}^d$ where $1<p<\infty$. We prove a John-Nirenberg inequality for $\text{JN}_p(\mathbb{R}^d,\gamma)$. We also characterize the predual of $\text{JN}_p(\mathbb{R}^d,\gamma)$ as a Hardy type space.

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Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano. 2024-09-27. Gaussian $\text{JN}_p$ spaces. https://arxiv.org/abs/2409.18354

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