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LOGARITHMIC SOBOLEV INEQUALITY FOR A CLASS OF MEASURES ON CONFIGURATION SPACES

Alexei Daletskii, Ahsan Haq
2013 Methods of Functional Analysis and Topology   unpublished

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Dedicated to Yuri Kondratiev on occasion of his 60th Birthday. Abstract. We study a class of measures on the space Γ X of locally finite configurations in X = R d , obtained as images of "lattice" Gibbs measures on X Z d with respect to an embedding Z d ⊂ R d. For these measures, we prove the integration by parts formula and log-Sobolev inequality.
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Alexei Daletskii, Ahsan Haq. "LOGARITHMIC SOBOLEV INEQUALITY FOR A CLASS OF MEASURES ON CONFIGURATION SPACES." Methods of Functional Analysis and Topology (2013)