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Note on Besicovitch's theorem on the possible values of upper and lower derivatives

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Publication:1947796
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DOI10.1134/S0001434613010306zbMath1273.28002OpenAlexW2083298672MaRDI QIDQ1947796

Yanyan Li

Publication date: 26 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613010306

zbMATH Keywords

Busemann-Feller basisBesicovitch's theorem on the values of upper and lower derivativesregular differentiation basis


Mathematics Subject Classification ID

Abstract differentiation theory, differentiation of set functions (28A15)


Related Items

Unnamed Item, On the differentiation of integrals with respect to translation invariant convex density bases



Cites Work

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  • On the possible values of upper and lower derivatives with respect to convex differential bases.
  • Differentiation of integrals in \(\mathbb{R}^n\)
  • Concerning the possible values of upper and lower derivatives
  • On a multidimensional form of F. Riesz’s “rising sun" lemma
  • Remark on the differentiability of the Lebesgue indefinite integral
  • On differentiation of Lebesgue double integrals
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