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Maximal operators related to the Ornstein-Uhlenbeck semigroup with complex time parameter

Peter Sjögren (Institutionen för matematiska vetenskaper)
Journal of Functional Analysis Vol. 237 (2006), 2, p. 675-688.
[Artikel, refereegranskad vetenskaplig]

Let γ be the Gaussian measure in Click to view the MathML source and Click to view the MathML source, t>0, the corresponding Ornstein-Uhlenbeck semigroup, whose infinitesimal generator is Click to view the MathML source. For each p with 12 this operator is of weak type but not of strong type (p,p) for γ. However, if a neighbourhood of the origin is deleted from Ep in the definition of Click to view the MathML source, the resulting operator is shown to be of strong type.

Nyckelord: Gaussian measure, Ornstein-Uhlenbeck semigroup, Mehler kernel, Maximal operators



Denna post skapades 2007-01-19. Senast ändrad 2014-09-29.
CPL Pubid: 36244

 

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