Gaussian $\text{JN}_p$ spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866917788151447552 |
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| author | Betancor, Jorge J. Dalmasso, Estefanía Quijano, Pablo |
| author_facet | Betancor, Jorge J. Dalmasso, Estefanía Quijano, Pablo |
| contents | In this paper we introduce the John-Nirenberg's type spaces $\text{JN}_p$ associated with the Gaussian measure $dγ(x) = π^{-d/2}e^{-|x|^2}dx$ in $\mathbb{R}^d$ where $1<p<\infty$. We prove a John-Nirenberg inequality for $\text{JN}_p(\mathbb{R}^d,γ)$. We also characterize the predual of $\text{JN}_p(\mathbb{R}^d,γ)$ as a Hardy type space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18354 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gaussian $\text{JN}_p$ spaces Betancor, Jorge J. Dalmasso, Estefanía Quijano, Pablo Analysis of PDEs 42B15, 42B20, 42B25, 42B35 In this paper we introduce the John-Nirenberg's type spaces $\text{JN}_p$ associated with the Gaussian measure $dγ(x) = π^{-d/2}e^{-|x|^2}dx$ in $\mathbb{R}^d$ where $1<p<\infty$. We prove a John-Nirenberg inequality for $\text{JN}_p(\mathbb{R}^d,γ)$. We also characterize the predual of $\text{JN}_p(\mathbb{R}^d,γ)$ as a Hardy type space. |
| title | Gaussian $\text{JN}_p$ spaces |
| topic | Analysis of PDEs 42B15, 42B20, 42B25, 42B35 |
| url | https://arxiv.org/abs/2409.18354 |