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Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu

✍ Scribed by Armao, Francy ;Głazowska, Dorota ;Rivas, Sergio ;Rojas, Jessica

Book ID
119990108
Publisher
Walter de Gruyter GmbH
Year
2013
Tongue
English
Weight
942 KB
Volume
11
Category
Article
ISSN
2391-5455

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Uniformly continuous superposition opera
Uniformly continuous superposition operators in the space of bounded variation functions
✍ 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,