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math.FA2015★ 7 cited
An L^1-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator
Mikko Kemppainen
We study a class of spectral multipliers ϕ(L) for the Ornstein--Uhlenbeck operator L arising from the Gaussian measure on R^n and find a sufficient condition for integrability of ϕ…
math.FA2015★ 2 cited
A note on local Hardy spaces
Mikko Kemppainen
We consider a non-negative self-adjoint operator L satisfying generalized Gaussian estimates on a doubling metric measure space, and show that if L has a spectral gap then the loca…