T1 criteria for generalised Calderón-Zygmund type operators on Hardy and BMO spaces associated to Schrödinger operators and applications

The Anh Bui, Ji Li, Fu Ken Ly

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Suppose L = 1+ V is a Schrödinger operator on R n with a potential V belonging to certain reverse Hölder class R H with n/2. The main aim of this paper is to provide necessary and sufficient conditions in terms of T 1 criteria for a generalised Calderón-Zygmund type operator with respect to L to be bounded on Hardy spaces H L p (R n ) and on BMO type spaces BMO L (R n ) associated with L. We give applications to several singular integral operators associated to L including the Riesz transforms r L 1/ 2, r 2 L 1, V 1/ 2 L 1/ 2 and V L 1

Original languageEnglish
Pages (from-to)203-239
Number of pages37
JournalAnnali della scuola normale superiore di pisa, Classe di scienze
Issue number1
Publication statusPublished - 2018

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