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A CLASS OF NON-SYMMETRIC FORMS ON THE CANONICAL SIMPLEX OF R-d

机译:A CLASS OF NON-SYMMETRIC FORMS ON THE CANONICAL SIMPLEX OF R-d

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摘要

We introduce a class of non-symmetric bilinear forms on the d-dimensional canonical simplex, related with Fleming-Viot type operators. Strong continuity, closedness and results in the spirit of Beurling-Deny criteria are established. Moreover, under suitable assumptions, we prove that the forms satisfy the Log-Sobolev inequality. As a consequence, regularity results for semigroups generated by a class of Fleming-Viot type operators are given.

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