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Remarks on the superposition operator problem in various function spaces

✍ Scribed by Appell, Jürgen; Zabrejko, Petr P.

Book ID: 118049667
Publisher: Taylor and Francis Group
Year: 2010
Tongue: English
Weight: 154 KB
Volume: 55
Category: Article
ISSN: 1747-6933
DOI: 10.1080/17476930903568332

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## 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,

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