bmo ρ（ω） Spaces and Riesz SchrSdinger transforms associated to operators

We introduce the BMO-type space bmo ρ（w） and establish the duality between h^1ρ（ω） and bmo ρ（ω）,where ω∈A1^ρ∞（R^n） and ω＇s locally behave as Muckenhoupt＇s weights but actually include them. We also give the Fefferman-Stein type decomposition of bmop（ω） with respect to Riesz transforms associated to...

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Bibliographic Details
Published in中国科学：数学英文版 no. 10; pp. 1995 - 2018
Main Author ZHU Hua ZHANG Qian
Format Journal Article
LanguageEnglish
Published 2016
Subjects
BMO
p空间
Riesz变换
Schrodinger算子
变换算子
薛定谔算子
逆Holder不等式
非负函数
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Summary:We introduce the BMO-type space bmo ρ（w） and establish the duality between h^1ρ（ω） and bmo ρ（ω）,where ω∈A1^ρ∞（R^n） and ω＇s locally behave as Muckenhoupt＇s weights but actually include them. We also give the Fefferman-Stein type decomposition of bmop（ω） with respect to Riesz transforms associated to Schrodinger operator L,where L=-△＋V is a SchrSdinger operator on R^2 （n≥3） and V is a non-negative function satisfying the reverse HSlder inequality.
Bibliography:bmo ρ（ω） spaces, Riesz transforms, Schrodinger operator
11-5837/O1
We introduce the BMO-type space bmo ρ（w） and establish the duality between h^1ρ（ω） and bmo ρ（ω）,where ω∈A1^ρ∞（R^n） and ω＇s locally behave as Muckenhoupt＇s weights but actually include them. We also give the Fefferman-Stein type decomposition of bmop（ω） with respect to Riesz transforms associated to Schrodinger operator L,where L=-△＋V is a SchrSdinger operator on R^2 （n≥3） and V is a non-negative function satisfying the reverse HSlder inequality.
ISSN:1674-7283
1869-1862