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

作者：Betancor Jorge J^*; Crescimbeni Raquel; Farina Juan C; Stinga Pablo Raul; Torrea Jose L

来源：Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2013, 12(1): 157-187.

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

• 出版日期2013