A \(\upsilon{}\)-integrable function which is not Lebesgue integrable on any portion of the unit square

DOI10.1007/BF00050901zbMath0783.26008OpenAlexW2065369027MaRDI QIDQ1206291

Zoltán Buczolich

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00050901

zbMATH Keywords

geometric measureunit square\(BV\) sets\(v\)-integralgeneralizations of the Lebesgue integral

Mathematics Subject Classification ID

Integration of real functions of several variables: length, area, volume (26B15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Cites Work

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• Functions with all singular sets of Hausdorff dimension bigger than one
• The surface integral
• The Gauss-Green theorem
• The Gauss-Green theorem

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