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arXiv · 1006.0416

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

J. J. Betancor·R. Crescimbeni·J. C. Fariña·P. R. Stinga·J. L. Torrea
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Abstract

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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J. J. Betancor, R. Crescimbeni, J. C. Fariña, P. R. Stinga, J. L. Torrea. 2011-06-24. A T1 criterion for Hermite-Calderon-Zygmund operators on the BMO_H(R^n) space and applications. https://arxiv.org/abs/1006.0416

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