Strong and weak duality principles for fractal dimension in Euclidean space

DOI10.1017/S0305004100073758zbMath0866.28004MaRDI QIDQ4879095

Colleen D. Cutler

Publication date: 7 July 1997

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionpacking dimensionweak duality principleextended Frostman lemmapointwise dimension mapsstrong duality principle

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

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Minkowski dimension for measures, Local dimensions of sliced measures and stability of packing dimensions of sections of sets, SOME CONSEQUENCES OF AND, A variational principle in the parametric geometry of numbers, On dimension of fractal functions on product of the Sierpiński gaskets and associated measures, Spectral packing dimensions through power-law subordinacy, Some New Concepts of Dimension, Some new characterizations of Olsen's multifractal functions, Effectively closed sets of measures and randomness, A variational principle for fractal dimensions, Average homogeneity and dimensions of measures, Hausdorff and packing dimensions and sections of measures

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