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arXiv · 1201.1412

Regularity properties of distributions through sequences of functions

Stevan Pilipovic·Dimitris Scarpalezos·Jasson Vindas
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Abstract

We give necessary and sufficient criteria for a distribution to be smooth or uniformly H\"{o}lder continuous in terms of approximation sequences by smooth functions; in particular, in terms of those arising as regularizations $(T\ast\phi_{n})$.

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Stevan Pilipovic, Dimitris Scarpalezos, Jasson Vindas. 2012-01-06. Regularity properties of distributions through sequences of functions. https://doi.org/10.1007/s00605-012-0410-0

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