Lp simulation for measures

Laura De Carli, Elijah Liflyand

Research output: Contribution to journalArticlepeer-review


Being motivated by general interest as well as by certain concrete problems of Fourier Analysis, we construct analogs of the Lp spaces for measures. It turns out that most of standard properties of the usual Lp 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 languageEnglish
Article number83
JournalEuropean Journal of Mathematics
Issue number3
StatePublished - Sep 2023

Bibliographical note

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


  • Fourier transform
  • Hausdorff–Young inequality
  • Measure
  • Uncertainty principle
  • Young inequality


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