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OSCILLATION AND VARIATION OF THE LAGUERRE HEAT AND POISSON SEMIGROUPS AND RIESZ TRANSFORMS 被引量：1

OSCILLATION AND VARIATION OF THE LAGUERRE HEAT AND POISSON SEMIGROUPS AND RIESZ TRANSFORMS
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摘要 In this article, we study LP-boundedness properties of the oscillation and vari- ation 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. In this article, we study LP-boundedness properties of the oscillation and vari- ation 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.
作者 J.J.Betancor R.Crescimbeni J.L.Torrea
机构地区 Departamento de An'aisis Matema'ico Departamento de Matema'ica Departamento de Matem'aticas
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期907-928,共22页 数学物理学报（B辑英文版）
基金 supported by Ministerio de Educación y Ciencia (Spain),grant MTM 2007-65609 supported by Ministerio de Educacióon y Ciencia (Spain),grant MTM 2008-06621-C02 supported by Universidad Nacional del Comahue (Argentina) and Ministerio de Educación y Ciencia (Spain) grant PCI 2006-A7-0670
关键词 OSCILLATION VARIATION heat Laguerre semigroup Riesz transforms Oscillation variation heat Laguerre semigroup Riesz transforms
分类号 O152.7 [理学—基础数学]
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参考文献31

  • 1Abu-Falahah I, Macfas R, Segovia C, Torrea J L. Transfering strong boundedness among Laguerre orthog- onal systems. Proc India Acad Sci (Math Sci), 2009, 119(2): 203-220.
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  • 3Betancor J J, Crescimbeni R, Torrea J L. p-Variation of the heat semigroup in the Hermite setting. Extremal boundedness properties. Proc of the Edinburgh Math Soc (serie 2), 2011, 54(3): 569--585.
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Acta Mathematica Scientia
2012年 第3期

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