Projections of planar Cantor sets in potential theory

DOI10.1016/S0019-3577(97)89118-5zbMath0880.31002MaRDI QIDQ1364606

Jan J. Dijkstra, Jan van Mill

Publication date: 24 November 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

projectionscapacityHausdorff measureplanar Cantor setspseudo-capacity

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (4)

Capacities of certain Cantor sets ⋮ All projections of a typical Cantor set are Cantor sets ⋮ A new simple family of Cantor sets in \(\mathbb{R}^3\) all of whose projections are one-dimensional ⋮ Cantor sets with high-dimensional projections

Cites Work

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• Smooth maps, null-sets for integralgeometric measure and analytic capacity
• Capacities of certain Cantor sets
• Sets with Prescribed Projections and Nikodym Sets
• An Example Illustrating Integralgeometric Measures
• On Hausdorff dimension of projections

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