Acta mathematica scientia, Series B >
OSCILLATION AND VARIATION OF THE LAGUERRE HEAT AND POISSON SEMIGROUPS AND RIESZ TRANSFORMS
Received date: 2010-03-03
Revised date: 2011-01-28
Online published: 2012-05-20
Supported by
The first author is partially supported by Ministerio de Educaci´on y Ciencia (Spain), grant MTM2007-65609. The second author is partially supported by Universidad Nacional del Comahue (Argentina) and Ministerio de Educaci´on y Ciencia (Spain) grant PCI 2006-A7-0670. The
third author is partially supported by Ministerio de Educaci´on y Ciencia (Spain), grant MTM 2008-06621-C02.
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.
Key words： Oscillation; variation; heat Laguerre semigroup; Riesz transforms
J.J. Betancor , R. Crescimbeni , J.L. Torrea . OSCILLATION AND VARIATION OF THE LAGUERRE HEAT AND POISSON SEMIGROUPS AND RIESZ TRANSFORMS[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 907 -928 . DOI: 10.1016/S0252-9602(12)60069-1
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