与薛定谔算子相关的g*λ -函数

数学物理学报 ›› 2014, Vol. 34 ›› Issue (1): 49-61.

与薛定谔算子相关的g*_λ -函数

黄际政

北方工业大学理学院北京 100144

收稿日期:2011-10-24 修回日期:2013-09-20 出版日期:2014-02-25 发布日期:2014-02-25
基金资助:
国家自然科学基金(11001002)和青年拔尖人才培育项目(BJRC201301)资助.

Littlewood-Paley g*_λ-function Associated to Schr\"{o}dinger Operator

HUANG Ji-Zheng

College of Sciences, North China University of Technology, Beijing 100144

Received:2011-10-24 Revised:2013-09-20 Online:2014-02-25 Published:2014-02-25
Supported by:
国家自然科学基金(11001002)和青年拔尖人才培育项目(BJRC201301)资助.

摘要/Abstract

摘要：

令L=-Δ+V 为一个薛定谔算子, 其中δ是欧式空间R^d上的拉普拉斯算子, V是属于逆 H\"{o}lder 类B_d_/2 的非负位势. 该文将研究与薛定谔算子L 相关的g*_λ -函数的有界性.

关键词: 薛定谔算子, 逆H\"{o}lder 类, g*_λ -函数

Abstract:

Let L=-Δ+V be a Schr\"{o}dinger operator, where Δ is the Laplacian on R^d and the nonnegative potential V belongs to the reverse H\"{o}lder class B_d_/2. In this paper, we investigate the boundedness of Littlewood-Paley g*_λ-function associated to Schr\"{o}dinger operator L.

Key words: Schr\"{o}dinger operator, Reverse H\"{o}lder class, g*_λ-Function

中图分类号:

35J10

黄际政. 与薛定谔算子相关的g*_λ -函数[J]. 数学物理学报, 2014, 34(1): 49-61.

HUANG Ji-Zheng. Littlewood-Paley g*_λ-function Associated to Schr\"{o}dinger Operator[J]. Acta mathematica scientia,Series A, 2014, 34(1): 49-61.

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