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

doi:10.2422/2036-2145.201510_007

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

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	203-239
Number of pages	37
Journal	Annali della scuola normale superiore di pisa, Classe di scienze
Volume	18
Issue number	1
DOIs	https://doi.org/10.2422/2036-2145.201510_007
Publication status	Published - 2018

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abstract = "Suppose L = 1+ V is a Schr{\"o}dinger operator on R n with a potential V belonging to certain reverse H{\"o}lder 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 Calder{\'o}n-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 ",

author = "Bui, {The Anh} and Ji Li and Ly, {Fu Ken}",

year = "2018",

doi = "10.2422/2036-2145.201510_007",

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pages = "203--239",

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

AU - Bui, The Anh

AU - Li, Ji

AU - Ly, Fu Ken

PY - 2018

Y1 - 2018

N2 - 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

AB - 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

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JO - Annali della scuola normale superiore di pisa, Classe di scienze

JF - Annali della scuola normale superiore di pisa, Classe di scienze

IS - 1

ER -

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

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