Hausdorff dimension and capacities of intersections of sets in n-space
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Publication:796675
DOI10.1007/BF02392192zbMath0544.28004OpenAlexW2077027261MaRDI QIDQ796675
Publication date: 1984
Published in: Acta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02392192
Length, area, volume, other geometric measure theory (28A75) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)
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Cites Work
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- Ensembles analytiques, capacites, mesures de Hausdorff
- An integral inequality for capacities.
- Integralgeometric Properties of Capacities
- Two definitions of fractional dimension
- Hausdorff Measure, Entropy, and the Independence of Small Sets
- SOME ALGEBRAIC PROPERTIES OF SMALL SETS
- Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
- Hausdorff dimension, orthogonal projections and intersections with planes
- Elements of Lipschitz topology
- Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions
- The Measure of Product and Cylinder Sets
