bmo ρ (ω) spaces and Riesz transforms associated to Schrödinger operators
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- 作者：Hua Zhu ; Qian Zhang
- 关键词：bmoρ(ω) spaces ; Riesz transforms ; Schrödinger operator
- 刊名：SCIENCE CHINA Mathematics
- 出版年：2016
- 出版时间：October 2016
- 年：2016
- 卷：59
- 期：10
- 页码：1995-2018
- 全文大小：333 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Chinese Library of Science
Applications of Mathematics - 出版者：Science China Press, co-published with Springer
- ISSN：1869-1862
- 卷排序：59
文摘
We introduce the BMO-type space bmoρ(ω) and establish the duality between hρ1(ω) and bmoρ(ω), where ω ∈ A1ρ, ∞ (ℝn) and ω’s locally behave as Muckenhoupt’s weights but actually include them. We also give the Fefferman-Stein type decomposition of bmoρ(ω) with respect to Riesz transforms associated to Schrödinger operator ℒ, where ℒ = -Δ + V is a Schrödinger operator on ℝn (n ⩾ 3) and V is a nonnegative function satisfying the reverse Hölder inequality.