Nontangential Limits and Nontangetial Boundedness for Solutions of Hermite Type Equations
DOI:
https://doi.org/10.63286/jima.035Keywords:
Calderon theorem, Poisson integral, Hermite operator, Ornstein-Uhlenbeck operator, perturbed laplacianAbstract
Nontangential convergence on the boundary is studied for L-harmonic functions defined on the upper half-space, where L is either a slightly more general operator than the Hermite operator or is a perturbation of the classical Laplacian. In addition, the Poisson kernel and the Poisson integral associated with L are analyzed in detail and several properties of independent interest are presented.
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