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The Denjoy-Clarkson property with respect to Hausdorff measures for the gradient mapping of functions of several variables

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Publication:931889
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DOI10.5802/aif.2356zbMath1154.26016OpenAlexW2484052820MaRDI QIDQ931889

Miroslav Zelený

Publication date: 4 July 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_2_405_0

zbMATH Keywords

gradientHausdorff measureinfinite gameDenjoy-Clarkson property


Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Continuity and differentiation questions (26B05)


Related Items

A characterization of the Radon-Nikodym property, Winning tactics in a geometrical game



Cites Work

  • Unnamed Item
  • Unnamed Item
  • A note on Buczolich's solution of the Weil gradient problem: a construction based on an infinite game
  • The Darboux property for gradients
  • A note on the gradient problem
  • The \(n\)-dimensional gradient has the 1-dimensional Denjoy-Clarkson property
  • Another note on the gradient problem of C. E. Weil
  • Solution to the gradient problem of C. E. Weil
  • Differentiation of Real Functions
  • Infinite games, Banach space geometry and the Eikonal equation
  • A property of derivatives
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