Lp simulation for measures

Laura De Carli; Elijah Liflyand

doi:10.1007/s40879-023-00677-2

L^p simulation for measures

Laura De Carli, Elijah Liflyand

Department of Mathematics

Florida International University

Research output: Contribution to journal › Article › peer-review

Abstract

Being motivated by general interest as well as by certain concrete problems of Fourier Analysis, we construct analogs of the L^p spaces for measures. It turns out that most of standard properties of the usual L^p spaces for functions can be extended to the measure setting. We illustrate the obtained results by examples and apply them to obtain a version of the uncertainty principle and an integrability result for the Fourier transform of a function of bounded variation.

Original language	English
Article number	83
Journal	European Journal of Mathematics
Volume	9
Issue number	3
DOIs	https://doi.org/10.1007/s40879-023-00677-2
State	Published - Sep 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Keywords

Fourier transform
Hausdorff–Young inequality
Measure
Uncertainty principle
Young inequality

Access to Document

10.1007/s40879-023-00677-2

Cite this

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