A local Hilbert transform, Hardy’s inequality and molecular characterization of Goldberg’s local Hardy space

Galia Dafni, Elijah Liflyand

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We prove characterizations of Goldberg’s local Hardy space h1(R) by means of a local Hilbert transform and a molecular decomposition. We use this decomposition to prove a version of Hardy’s inequality for the Fourier transform of functions in this space.

Original languageEnglish
Article number10
JournalComplex Analysis and its Synergies
Volume5
Issue number1
DOIs
StatePublished - Mar 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

  • Atomic decomposition
  • Hardy space
  • Hardy’s inequality
  • Molecules

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