An L1-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator
Abstract
We study a class of spectral multipliers φ(L) for the Ornstein--Uhlenbeck operator L arising from the Gaussian measure on Rn and find a sufficient condition for integrability of φ(L)f in terms of the admissible conical square function and a maximal function.
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