On laplace–carleson embeddings, and lp-mapping properties of the fourier transform

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Abstract

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.

Original languageEnglish
Pages (from-to)437-457
Number of pages21
JournalArkiv för matematik
Volume58
Issue number2
DOIs
Publication statusPublished - 2020

Subject classification (UKÄ)

  • Mathematical Analysis

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