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Bounded Variation and Around () || 6. Nonlinear superposition operators

✍ Scribed by Appell, Jürgen; Banas, Józef; Merentes Díaz, Nelson José


Book ID
124100272
Publisher
DE GRUYTER
Year
2013
Weight
423 KB
Category
Article
ISBN
3110265117

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📜 SIMILAR VOLUMES


Uniformly continuous superposition opera
✍ Janusz Matkowski 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 85 KB

## Abstract Let __I__, __J__ ⊂ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ × __J__ → ℝ, __H__ (__φ__)(__x__) ≔ __h__ (__x__, __φ__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,