On the fundamental geometrical properties of linearly measurable plane sets of points. II
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Publication:5925305
DOI10.1007/BF01448943zbMath0018.11302OpenAlexW4251637126MaRDI QIDQ5925305
Publication date: 1938
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/159966
Related Items (37)
Generalized rectifiability of measures and the identification problem ⋮ Study of extreme cases with respect to the densities of irregular linearly measurable plane sets of points ⋮ Marstrand's density theorem in the Heisenberg group ⋮ The packing measure of rectifiable subsets of the plane ⋮ Singular parts of contractive analytic operator functions ⋮ Singular integrals, analytic capacity and rectifiability ⋮ Order‐two density of sets and measures with non‐integral dimension ⋮ Geometry of measures in real dimensions via Hölder parameterizations ⋮ Characterization of \(n\)-rectifiability in terms of Jones' square function. II ⋮ The regularity theory for the area functional (in geometric measure theory) ⋮ Regularities of general Hausdorff and packing functions ⋮ Comparing the Hausdorff and packing measures of sets of small dimension in metric spaces ⋮ Équisingularité réelle : nombres de Lelong et images polaires ⋮ Unrectifiable 1-sets with moderate essential flatness satisfy Besicovitch's \(\frac 12\)-conjecture ⋮ Order‐two density and the strong law of large numbers ⋮ A Marstrand theorem for measures with polytope density ⋮ Regularities of multifractal measures ⋮ Conical upper density theorems and porosity of measures ⋮ Multiscale analysis of 1-rectifiable measures. II: Characterizations ⋮ Wavelet transforms and order-two densities of fractals ⋮ Isodiametric sets in the Heisenberg group ⋮ On the tangential properties of surfaces ⋮ On the \(\frac 12\)-problem of Besicovitch: quasi-arcs do not contain sharp saw-teeth ⋮ On the strong regularity with the multifractal measures in a probability space ⋮ Tangential behavior of functions and conical densities of Hausdorff measures ⋮ Necessary and sufficient conditions for the chain rule in \(W_{\text{loc}}^{1,1} (\mathbb R^N;\mathbb R^d)\) and \(BV_{\text{loc}}(\mathbb R^N;\mathbb R^d)\) ⋮ Upper porous measures on metric spaces ⋮ Linear measure on plane continua of finite linear measure ⋮ Estimation of dimension for spatially distributed data and related limit theorems ⋮ On the angular derivative of analytic functions ⋮ On the projection of a plane set of finite linear measure ⋮ Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type ⋮ Local conical dimensions for measures ⋮ Dynamics of the scenery flow and geometry of measures ⋮ Multiscale analysis of 1-rectifiable measures: necessary conditions ⋮ Study of extreme cases with respect to the densities of irregular linearly measurable plane sets of points. ⋮ Some results about the regularities of multifractal measures
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