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math.CA2012★ 1 cited
Scalar oscillatory integrals in smooth spaces of homogeneous type
Philip T. Gressman
We consider a generalization of the notion of spaces of homogeneous type, inspired by recent work of Street [21] on the multi-parameter Carnot-Caratheodory geometry, which imbues s…
math.CA2012
Fractional Poincare and logarithmic Sobolev inequalities for measure spaces
Philip T. Gressman
We prove generalizations of the Poincare and logarithmic Sobolev inequalities corresponding to the case of fractional derivatives in measure spaces with only a minimal amount of ge…