Dimension-Independent Harnack Inequalities for Subordinated Semigroups |
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| Authors: | Maria Gordina Michael Röckner Feng-Yu Wang |
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| Affiliation: | 1.Department of Mathematics,University of Connecticut,Storrs,USA;2.Department of Mathematics,Bielefeld University,Bielefeld,Germany;3.Departments of Mathematics and Statistics,Purdue University,West Lafayette,USA;4.Department of Mathematics,Swansea University,Swansea,UK;5.School of Math. Sci. & Lab. Math. Com. Sys.,Beijing Normal University,Beijing,China |
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| Abstract: | Dimension-independent Harnack inequalities are derived for a class of subordinate semigroups. In particular, for a diffusion satisfying the Bakry-Emery curvature condition, the subordinate semigroup with power α satisfies a dimension-free Harnack inequality provided (alpha in left(frac{1}{2},1 right)), and it satisfies the log-Harnack inequality for all α?∈?(0, 1). Some infinite-dimensional examples are also presented. |
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