Regularity properties of distributions through sequences of functions

Details Regularity properties of distributions through sequences of functions Regularity properties of distributions through sequences of functions

2012-01-06

arxiv.org/abs/1201.1412v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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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