Geometry of planar curves intersecting many lines at a few points

DOI10.1090/spmj/1742OpenAlexW4307715031MaRDI QIDQ5047973

Dimitris Vardakis, Alexander Volberg

Publication date: 17 November 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.03203

zbMATH Keywords

Hausdorff dimensionLipschitz functionMarstrand's theorem

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Planar graphs; geometric and topological aspects of graph theory (05C10) Vector-valued set functions, measures and integrals (28B05)

Cites Work

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• Matrix measures and finite rank perturbations of self-adjoint operators
• Hausdorff dimension, orthogonal projections and intersections with planes
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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