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

2019/07/26 by Rydhe, Eskil
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1907.11583

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.

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