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

Published 25 Aug 2015 in math.FA | (1508.06102v2)

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

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Authors (1)

Mikko Kemppainen

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