Variation type characterization of product Hardy spaces

Laura Angeloni, Elijah Liflyand, Gianluca Vinti

Research output: Contribution to journalArticlepeer-review


In the multidimensional Euclidean space, except the classical real Hardy space, there are numerous product ones. We associate with each of them a class of functions related to the known variations and new ones. Such a characterization is fulfilled by means of the integrability of the Fourier transform.

Original languageEnglish
Article number12
JournalAnalysis and Mathematical Physics
Issue number2
StatePublished - Apr 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.


  • 26B30
  • 42A38
  • 42A50
  • 42B10
  • 42B20
  • 42B30
  • 42B35
  • Bounded variation
  • Fourier transform
  • Hardy inequality
  • Hardy variation
  • Hilbert transform
  • Product Hardy space
  • Real Hardy space
  • Riesz transform
  • Tonelli variation


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