A T1 criterion for Hermite-Calderon-Zygmund operators on the BMO_H(Rⁿ) space and applications

2010/06/02 by Jorge J. Betancor, J. J. Betancor, R. Crescimbeni +11 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.CA #math.FA

paper · pdf · doi:10.48550/arxiv.1006.0416

20 pages. To appear in Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

openalex publication_date 2010/06/02 · arxiv created 2011/06/24 · arxiv updated 2011/06/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we establish a T1 criterion for the boundedness of Hermite-Calderon-Zygmund operators on the BMO_H(Rⁿ) space naturally associated to the Hermite operator H. We apply this criterion in a systematic way to prove the boundedness on BMO_H(Rⁿ) of certain harmonic analysis operators related to H (Riesz transforms, maximal operators, Littlewood-Paley g-functions and variation operators).

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