bmo _ρ(ω) Spaces and Riesz transforms associated to Schrdinger operators

作     者：ZHU Hua ZHANG Qian 

作者机构：School of General EducationBeijing International Studies UniversityBeijing 100024China School of Mathematical SciencesPeking UniversityBeijing 100871China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2016年第59卷第10期

页      面：1995-2018页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11426038 and 11271024) 

主　　题：bmo ρ(ω) spaces Riesz transforms Schrodinger operator 

摘      要：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.