Packing Measure as a Gauge Variation

DOI10.2307/2160856zbMath0808.28004OpenAlexW4232661029MaRDI QIDQ4311386

G. A. Edgar

Publication date: 12 March 1995

Full work available at URL: https://doi.org/10.2307/2160856

zbMATH Keywords

packing measuredifferentiation basefractal measuresstrong Vitali propertyHenstock gauge variation

Mathematics Subject Classification ID

Fractals (28A80) Denjoy and Perron integrals, other special integrals (26A39)

Related Items (5)

Regularities of general Hausdorff and packing functions ⋮ Metric and geometric quasiconformality in Ahlfors regular Loewner spaces ⋮ On the strong regularity with the multifractal measures in a probability space ⋮ Variations and variational measures in integration theory and some applications ⋮ Some results about the regularities of multifractal measures

Cites Work

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• Derivation bases on the real line. I
• The density theorem and Hausdorff inequality for packing measure in general metric spaces
• The Packing Theorem and Packing Measure
• Packing Measure, and its Evaluation for a Brownian Path
• Packing regularity of sets in n-space
• The Symmetric Derivation Basis Measure and the Packing Measure
• Two definitions of fractional dimension
• Construction of Measures in Metric Spaces
• Generalized Integrals of Vector-Valued Functions
• Die Hausdorff-Dimension von kartesischen Produkten metrischer Räume.
• A general form of the covering principle and relative differentiation of additive functions

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