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Extending classical criteria for differentiation theorems

  • Flemming Topsøe (a1)

Abstract

A basic notion in the classical theory of differentiation is that of a differentiation base. However, some differentiation type theorems only require the less restricted notion of a contraction. We demonstrate that the classical criteria, such as the covering criteria of de Possel, continue to hold in the new setting.

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1.de Guzmán, M.. Real Variable Methods in Fourier Analysis, Mathematics Studies 46 (North-Holland, 1981).
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