Feller Generators with Measure-valued Drifts

摘要

We construct a L (p) -strong Feller process associated with the formal differential operator - Delta + sigma ai...ac on , , with drift sigma in a wide class of measures (e.g. the sum of a measure having density in weak L (d) space and a Kato class measure), by exploiting a quantitative dependence of the smoothness of the domain of an operator realization of - Delta + sigma ai...ac generating a holomorphic C (0)-semigroup on , p d - 1, on the value of the relative bound of sigma.