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arXiv:1508.06102 [math.FA]AbstractReferencesReviewsResources

An L^1-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator

Mikko Kemppainen

Published 2015-08-25Version 1

We study a class of spectral multipliers \phi(L) for the Ornstein--Uhlenbeck operator L arising from the Gaussian measure on R^n and find a sufficient condition for integrability of \phi(L)f in terms of the admissible conical square function and a maximal function.

Comments: 11 pages
Categories: math.FA
Subjects: 42B25, 42B15, 42B30
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