Displaying similar documents to “A Spectral Mapping Theorem for Local Multipliers.”

Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators

Błażej Wróbel (2013)

Studia Mathematica

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Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators are studied. We prove that L p -uniform, 1 < p < ∞, spectral multipliers extend to holomorphic functions in some subset of a polysector, depending on p. We also characterize L¹-uniform spectral multipliers and prove a Marcinkiewicz-type multiplier theorem. In the appendix we obtain analogous results for systems of Laguerre operators.