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Families of surfaces lying in a null set
Published online by Cambridge University Press: 26 February 2010
Extract
In this note we generalize the following result of Sawyer [5]:
Theorem 1. There is a function ψ on ℝ such that, whenever g is a real-valued Borel measurable function on (a subset of) ℝ. × ℝn-1 with the property that y ↦ g(y, t) is C1 for a.e. t, the set
has measure zero.
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- Research Article
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- Copyright © University College London 2004
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