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Several inequalities concerning interpolation in classical Fourier analysis
arXiv - MATH - Classical Analysis and ODEs Pub Date : 2023-03-02 , DOI: arxiv-2303.01981 Runzhe Zhang, Hua Wang
arXiv - MATH - Classical Analysis and ODEs Pub Date : 2023-03-02 , DOI: arxiv-2303.01981 Runzhe Zhang, Hua Wang
In this note, we establish several interpolation inequalities in $\mathbb
R^n$ in the Lebesgue spaces and Morrey spaces. By using the classical
Calderon--Zygmund decomposition, we will reprove that $L^{p}(\mathbb
R^n)\cap\mathrm{BMO}(\mathbb R^n)\subset L^{q}(\mathbb R^n)$ for all $q$ with
$p
更新日期:2023-03-06
中文翻译:
经典傅里叶分析中插值的几个不等式
在这篇笔记中,我们在勒贝格空间和莫雷空间的 $\mathbb R^n$ 中建立了几个插值不等式。通过使用经典的 Calderon--Zygmund 分解,我们将反驳 $L^{p}(\mathbb R^n)\cap\mathrm{BMO}(\mathbb R^n)\subset L^{q}(\ mathbb R^n)$ 对所有 $q$ 和 $p