An L¹-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator
classification
🧮 math.FA
keywords
functionmultipliersoperatorornstein--uhlenbeckspectraladmissiblearisingassociated
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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.
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