Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrodinger setting
Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrodinger setting
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薛定谔设置中加权勒贝格空间上 Littlewood-Paley 函数的定量有界性
DOI：
10.1016/j.jmaa.2019.123731
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发表时间：
2020
影响因子：
1.3
通讯作者：
Yang Dachun
中科院分区：
文献类型：
--
作者：
Zhang Junqiang;Yang Dachun
设L：=− Δ+ V是Rn上的Schr dinger算子，n≥ 3，其中V是一个非负势，属于某个逆Hölder类RHq（Rn），q∈（n/2，∞）.在加权Lebesgue空间Lp（w）上，得到了Littlewood-Paley函数g L，SL和g L，λ λ ∈ L的定量加权有界性，其中w属于适合于L的MuckenhouptAp权类.
Abstract Let L:=− Δ+ V be the Schrödinger operator on R n with n≥ 3, where V is a non-negative potential which belongs to certain reverse Hölder class R H q (R n) with q∈(n/2,∞). In this article, the authors obtain the quantitative weighted boundedness of Littlewood–Paley functions g L, S L and g L, λ⁎, associated to L, on weighted Lebesgue spaces L p (w), where w belongs to the class of Muckenhoupt A p weights adapted to L.