Oscillation and variation of the laguerre heat and poisson semigroups and riesz transforms

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• 作者：J.J. Betancor^a ; ^{jbetanco@ull.es} ; R. Crescimbeni^b ; ^{raquel.crescimbeni@faea.uncoma.edu.ar} ; J.L. Torrea^c ; ^{joseluis.torrea@uam.es}
• 关键词：Oscillation ; variation ; heat Laguerre semigroup ; Riesz transforms
• 刊名：Acta Mathematica Scientia
• 出版年：2012
• 期刊代码：1_02529602
• 类别：mt
• 出版时间：May, 2012
• 卷：32
• 期：3
• 页码：907-928
• 文件大小：361 K

摘要

In this article, we study L^p-boundedness properties of the oscillation and variation operators for the heat and Poissson semigroup and Riesz transforms in the Laguerre settings. Also, we characterize Hardy spaces associated to Laguerre operators by using the variation operator of the heat semigroup.