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Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight

✍ Scribed by Chistyakov, V. V.


Book ID
126305462
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2000
Tongue
English
Weight
234 KB
Volume
6
Category
Article
ISSN
1425-6908

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Uniformly continuous superposition opera
✍ Janusz Matkowski πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 85 KB

## Abstract Let __I__, __J__ βŠ‚ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ Γ— __J__ β†’ ℝ, __H__ (__Ο†__)(__x__) ≔ __h__ (__x__, __Ο†__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,