Packing measures and dimensions on Cartesian products

DOI10.5565/PUBLMAT_57213_06zbMath1285.28009arXiv1208.5522OpenAlexW1978636291MaRDI QIDQ2637439

Ondřej Zindulka

Publication date: 11 February 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5522

zbMATH Keywords

Hausdorff dimensionpacking dimensionCartesian productpacking measureHewitt-Stromberg measure

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (20)

Slices of Hewitt-Stromberg measures and co-dimensions formula ⋮ Projection theorems for Hewitt-Stromberg and modified intermediate dimensions ⋮ A note on the generalized Hausdorff and packing measures of product sets in metric space ⋮ On the Hausdorff and packing measures of typical compact metric spaces ⋮ A multifractal formalism for Hewitt-Stromberg measures ⋮ On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide ⋮ Average Hewitt-Stromberg and box dimensions of typical compact metric spaces ⋮ A note on the regularities of Hewitt-Stromberg \(h\)-measures ⋮ Correction to: ``On the Hewitt-Stromberg measure of product sets ⋮ Projection estimates for the lower Hewitt-Stromberg dimension ⋮ Dimension of images and graphs of little Lipschitz functions ⋮ On a class of Hausdorff measure of Cartesian product sets in metric spaces ⋮ Unnamed Item ⋮ REGULARITIES OF MULTIFRACTAL HEWITT-STROMBERG MEASURES ⋮ A note on fractal measures and Cartesian product sets ⋮ On the mutual singularity of Hewitt-Stromberg measures ⋮ A review on multifractal analysis of Hewitt-Stromberg measures ⋮ Strong measure zero and meager-additive sets through the prism of fractal measures ⋮ On average Hewitt-Stromberg measures of typical compact metric spaces ⋮ Addendum to: a note on fractal measures and Cartesian product sets

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• Packing dimension and Cartesian products
• Two definitions of fractional dimension
• On the existence of subsets of finite positive packing measure
• On Hausdorff and packing dimension of product spaces
• A New Theory of Dimension
• Packing dimension, Hausdorff dimension and Cartesian product sets

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