Weighted inequalities for commutators of Schr枚dinger-Riesz transforms

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• 作者：B. Bongioanni ^{bbongio@santafe-conicet.gov.ar} ; E. Harboure ; ^{harbour@santafe-conicet.gov.ar} ; O. Salinas ^{salinas@santafe-conicet.gov.ar}
• 关键词：Schrö ; dinger operator ; Riesz transforms ; Commutators ; Weights
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：1 August, 2012
• 卷：392
• 期：1
• 页码：6-22
• 文件大小：243 K

摘要

In this work we obtain weighted , , and weak estimates for the commutator of the Riesz transforms associated to a Schr枚dinger operator , where V satisfies some reverse-H枚lder inequality. The classes of weights as well as the classes of symbols are larger than and BMO corresponding to the classical Riesz transforms.