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Families of vector measures of uniformly bounded variation

✍ Scribed by Olav Nygaard; Märt Põldvere

Publisher
Springer
Year
2006
Tongue
English
Weight
125 KB
Volume
88
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

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,