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Modulus and Poincare inequalities on non-self-similar Sierpinski carpets

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 نشر من قبل John Mackay
 تاريخ النشر 2012
  مجال البحث
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A carpet is a metric space homeomorphic to the Sierpinski carpet. We characterize, within a certain class of examples, non-self-similar carpets supporting curve families of nontrivial modulus and supporting Poincare inequalities. Our results yield new examples of compact doubling metric measure spaces supporting Poincare inequalities: these examples have no manifold points, yet embed isometrically as subsets of Euclidean space.



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