Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrodinger Operator

机译：与Schrodinger运算符相关的RIESZ变换换向器的加权界限

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摘要

In this paper, the Schrodinger operator on n dimensions Euclid space with the non-zero, nonnegative potential function satisfying the reverse Holder inequality is considered. The weighted boundedness of the commutators composed of several Riesz transforms associated with the Schrodinger operator and weighted Lipschitz function on weighted Lebesgue integral spaces are obtained, for some weighted function.

机译：在本文中，考虑了施罗登手机操作员N尺寸与非零的非零，非负势函数满足反向保持器不等式。获得了与施罗德格运算符和加权LIPSCHITZ功能相关的几个RIESZ变换组成的换向器的加权界限，用于一些加权功能。

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《International Conference on Civil Engineering and Transportation》|2013年||共4页
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Wenhua GAO; Wei ZHOU;
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中图分类 TU-53;
关键词
Schrodinger operator; Reverse Holder inequality; Commutator;

机译：Schrodinger运算符;逆向持有人不等式;换向器;

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1. Boundedness for Riesz transform associated with Schr?dinger operators and its commutator on weighted Morrey spaces related to certain nonnegative potentials [J] . Yu Liu, Lijuan Wang Journal of inequalities and applications . 2014,第1期

机译：与薛定er算子及其交换子相关的Riesz变换在与某些非负势相关的加权Morrey空间上的有界性
2. Weighted Boundedness of Multilinear Operators Associated to Riesz Transforms of Schrodinger Operator for the Extreme Cases [J] . Lanzhe Liu Journal of pseudo-differential operators and applications . 2013,第3期

机译：极端情况下与薛定inger算子的Riesz变换相关的多线性算子的加权有界性
3. L-p boundedness of commutators of Riesz transforms associated to Schrodinger operator [J] . Guo ZH, Li PT, Peng LZ Journal of Mathematical Analysis and Applications . 2008,第1期

机译：与Schrodinger算子相关的Riesz变换的交换子的L-p有界
4. Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrodinger Operator [C] . Wenhua GAO, Wei ZHOU International Conference on Civil Engineering and Transportation . 2013

机译：与Schrodinger运算符相关的RIESZ变换换向器的加权界限
5. Boundedness of certain oscillatory integrals on weighted L(p) spaces and some results on weighted weak H(p) 0 <= p <= 1. [D] . Zhang, Yan. 1998

机译：加权L（p）空间上某些振荡积分的有界性和加权弱H（p）0 <= p <= 1。
6. Some weighted inequalities for Hausdorff operators and commutators [O] . Amjad Hussain, Amna Ajaib -1

机译：Hausdorff算子和交换子的一些加权不等式
7. Boundedness for Riesz transform associated with Schrödinger operators and its commutator on weighted Morrey spaces related to certain nonnegative potentials [O] . Yu Liu, Lijuan Wang 2014

机译：与Schrödinger算符及其交换子有关的Riesz变换在与某些非负势相关的加权Morrey空间上的有界性

Weighted Boundedness of Commutators of Riesz Transforms Associated with Schrodinger Operator

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