An approximate analog of a theorem of Khintchine
Chris Freiling, Dan Rinne (1990)
Fundamenta Mathematicae
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Chris Freiling, Dan Rinne (1990)
Fundamenta Mathematicae
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J. Kuelbs (1974)
Studia Mathematica
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L. C. Piccinini, S. Spagnolo (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J. Radecki (1962)
Studia Mathematica
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Green, John W. (1952)
Portugaliae mathematica
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M. Fabian (1995)
Studia Mathematica
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Let ℛ denote some kind of rotundity, e.g., the uniform rotundity. Let X admit an ℛ-norm and let Y be a reflexive subspace of X with some ℛ-norm ∥·∥. Then we are able to extend ∥·∥ from Y to an ℛ-norm on X.
Michele Miranda, Diego Pallara, Fabio Paronetto, Marc Preunkert (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove a characterisation of sets with finite perimeter and functions in terms of the short time behaviour of the heat semigroup in . For sets with smooth boundary a more precise result is shown.