Square functions in the Hermite setting for functions with values in UMD spaces

J. J. Betancor, A. J. Castro, J. Curbelo, J. C. Fariña, L. Rodríguez-Mesa

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

In this paper, we characterize the Lebesgue Bochner spaces (Formula presented.), by using Littlewood–Paley g-functions in the Hermite setting, provided that B is a UMD Banach space. We use (Formula presented.)-radonifying operators (Formula presented.) where (Formula presented.). We also characterize the UMD Banach spaces in terms of (Formula presented.) boundedness of Hermite Littlewood–Paley g-functions.

Original languageEnglish
Pages (from-to)1397-1430
Number of pages34
JournalAnnali di Matematica Pura ed Applicata
Volume193
Issue number5
DOIs
Publication statusPublished - Jan 1 2014

Keywords

  • (Formula presented.)-radonifying operators
  • Hermite operator
  • Littlewood–Paley g-functions
  • UMD Banach spaces

ASJC Scopus subject areas

  • Applied Mathematics

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