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Global properties of invariant measures
Authors:Giorgio Metafune  Abdelaziz Rhandi
Affiliation:a Dipartimento di Matematica “Ennio De Giorgi”, Università di Lecce, C.P. 193, 73100, Lecce, Italy
b Department of Mathematics, Faculty of Science Semlalia, Cadi Ayyad University, B.P. 2390, 40000, Marrakesh, Morocco
Abstract:
We study global regularity properties of invariant measures associated with second order differential operators in RN. Under suitable conditions, we prove global boundedness of the density, Sobolev regularity, a Harnack inequality and pointwise upper and lower bounds.
Keywords:Invariant measures   Elliptic regularity   Harnack inequality
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