In this paper we prove a Wiener-type characterization of boundary regularity, in the spirit of a classical result by Landis, for a class of evolutive Hormander operators. We actually show the validity of our criterion for a larger class of degenerate-parabolic operators with a fundamental solution satisfying suitable two-sided Gaussian bounds. Our condition is expressed in terms of a series of balayages or, (as it turns out to be) equivalently, Riesz-potentials.

中文翻译：

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进化 Hörmander 算子的 La Landis 维纳检验

在本文中，我们本着 Landis 经典结果的精神，证明了一类演化霍曼德算子的 Wiener 型边界规则特征。我们实际上展示了我们的标准对于更大类别的退化抛物线算子的有效性，其基本解满足合适的双边高斯边界。我们的条件用一系列 balayage 或（事实证明）等价的 Riesz 势来表示。