Lower bounds for dimensions of sums of sets

DOI10.1007/s12220-009-9110-yzbMath1183.28008arXiv0808.1873OpenAlexW2013554298MaRDI QIDQ848509

Daniel M. Oberlin

Publication date: 3 March 2010

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1873

zbMATH Keywords

Hausdorff dimensionMinkowski dimensionsum of two sets

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Hausdorff and packing measures (28A78)

Related Items (1)

Dimension and measure of sums of planar sets and curves

Cites Work

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• Convolution estimates and model surfaces of low codimension
• The size of sums of sets. II
• Besicovitch type maximal operators and applications to Fourier analysis
• Differentiability properties of Bessel potentials and Besov functions
• Restricted Radon Transforms and Projections of Planar Sets
• L p regularity of averages over curves and bounds for associated maximal operators
• Resonance between Cantor sets
• The size of sums of sets
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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