Approximating pavings and construction of measures
Flemming Topsøe (1979)
Colloquium Mathematicae
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Flemming Topsøe (1979)
Colloquium Mathematicae
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M. J. Muñoz Bouzo (1995)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
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Alejandro Balbás, Pedro Jiménez-Guerra (2009)
RACSAM
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Jan Stochel (1987)
Colloquium Mathematicae
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Matthew Badger, Raanan Schul (2017)
Analysis and Geometry in Metric Spaces
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A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density and finiteness of a geometric square function, which loosely speaking, records in an L2 gauge the extent to which μ admits approximate tangent lines, or has rapidly growing density ratios, along its support. In contrast with the classical...
Thiruvaiyaru V. Panchapagesan (1992)
Czechoslovak Mathematical Journal
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Jan K. Pachl (1979)
Colloquium Mathematicae
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A. Paszkiewicz (1980)
Colloquium Mathematicae
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K. P. S. Bhaskara Rao, B. V. Rao (1979)
Colloquium Mathematicae
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Beloslav Riečan (1974)
Časopis pro pěstování matematiky
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