Some properties of new general fractal measures

DOI10.1007/s00605-024-01979-7MaRDI QIDQ6582378

Rim Achour, Bilel Selmi

Publication date: 2 August 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

zbMATH Keywords

doubling conditiongeneral Hausdorff measuregeneral packing measureouter regular property

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)

Cites Work

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• Some Relations Between Packing Premeasure and Packing Measure
• Some properties of packing measure with doubling gauge
• Some regular properties of the Hewitt-Stromberg measures with respect to doubling gauges
• Subsets of positive and finite \(\Psi_t\)-Hausdorff measures and applications
• General fractal dimensions of graphs of products and sums of continuous functions and their decompositions

Related Items (2)

General fractal dimensions of graphs of products and sums of continuous functions and their decompositions ⋮ Variational principles for general fractal dimensions

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