Multivariate spectral multipliers for systems of Ornstein-Uhlenbeck operators

作者：Wrobel Blazej^*

来源：Studia Mathematica, 2013, 216(1): 47-67.

DOI：10.4064/sm216-1-4

• Ornstein-Uhlenbeck operators
• multivariate spectral multiplier
• uniform spectral multiplier
• Laguerre operators

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

• 出版日期2013