Uniformly continuous superposition opera
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Janusz Matkowski
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Article
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2010
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John Wiley and Sons
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English
β 85 KB
## Abstract Let __I__, __J__ β β be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ Γ __J__ β β, __H__ (__Ο__)(__x__) β __h__ (__x__, __Ο__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,