On Mawhin's approach to multiple nonabsolutely convergent integral
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Jiří Jarník, Jaroslav Kurzweil, Štefan Schwabik (1983)
Časopis pro pěstování matematiky
Hany M. Farag (2002)
Revista Matemática Iberoamericana
In this paper we give an alternative proof of our recent result that totally unrectifiable 1-sets which satisfy a measure-theoretic flatness condition at almost every point and sufficiently small scales, satisfy Besicovitch's 1/2-Conjecture which states that the lower spherical density for totally unrectifiable 1-sets should be bounded above by 1/2 at almost every point. This is in contrast to rectifiable 1-sets which actually possess a density equal to unity at almost every point. Our present method...
Daniel Gross (1988)
Manuscripta mathematica
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