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

Details A T1 criterion for Hermite-Calderon-Zygmund operators on the BMO_H(R^n) space and applications A T1 criterion for Hermite-Calderon-Zygmund operators on the BMO_H(R^n) space and applications

2010-06-02

arxiv.org/abs/1006.0416v2

Mathematics

Classical Analysis and ODEs

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

Scientific paper

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

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