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On the differentiability of the superposition operator in hölder and Sobolev spaces

✍ Scribed by Jürgen Appell


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
116 KB
Volume
8
Category
Article
ISSN
0362-546X

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## 1. Definitions and Notations Let (pn) be a sequence of non-negative constants such that po=-O and let A P,, = pk . Then the transformations k-0 n and (1.2) n m=O T n = { P n I -I C Pn-mSm define, respectively, (R, pn) and N ~R L U N D means of the sequence (an), where s , is the partial sum of t