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A set with finite curvature and projections of zero length

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Publication:1576971
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DOI10.1006/jmaa.2000.6831zbMath0973.30022OpenAlexW1967523109MaRDI QIDQ1576971

Helen Joyce, Peter Mörters

Publication date: 25 November 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-7297

zbMATH Keywords

Hausdorff measurerectifiabilityanalytic capacityMelnikov (Menger) curvature


Mathematics Subject Classification ID

Capacity and harmonic measure in the complex plane (30C85)


Related Items

Cones, rectifiability, and singular integral operators, Analytic capacity and projections, On the \(T(1)\)-theorem for the Cauchy integral, Optimal bounds for the analytical traveling salesman problem, Two examples related to conical energies



Cites Work

  • Unnamed Item
  • Smooth maps, null-sets for integralgeometric measure and analytic capacity
  • Positive analytic capacity but zero Buffon needle probability
  • Unrectifiable 1-sets have vanishing analytic capacity
  • Menger curvature and rectifiability
  • Singular integrals, analytic capacity and rectifiability
  • The Cauchy integral, analytic capacity, and uniform rectifiability
  • k-Dimensional Regularity Classifications for s-Fractals
  • Analytic capacity: discrete approach and curvature of measure
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