关于拉普拉斯-卡尔森嵌入，以及傅里叶变换的L^p -映射性质

IF 0.8 4区数学 Q2 MATHEMATICS Arkiv for Matematik Pub Date : 2019-07-26 DOI:10.4310/arkiv.2020.v58.n2.a10

E. Rydhe

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引用次数: 6

摘要

我们研究所谓的大指数拉普拉斯-卡尔森嵌入。特别地，我们扩展了Jacob, Partington和Pott的一些结果。我们还讨论了Sobolev-和Besov空间的一些相关结果，以及傅里叶变换的映射性质。Hausdorff- Young定理的这些变体似乎很难在文献中找到。我们用一个与开放问题有关的例子来结束本文。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Laplace–Carleson embeddings, and $L^p$-mapping properties of the Fourier transform

We investigate so-called Laplace--Carleson embeddings for large exponents. In particular, we extend some results by Jacob, Partington, and Pott. We also discuss some related results for Sobolev- and Besov spaces, and mapping properties of the Fourier transform. These variants of the Hausdorff--Young theorem appear difficult to find in the literature. We conclude the paper with an example related to an open problem.

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