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Superposition Operators in the Algebra of Functions of Two Variables with Finite Total Variation

✍ Scribed by Vyacheslav V. Chistyakov

Publisher
Springer Vienna
Year
2002
Tongue
English
Weight
156 KB
Volume
137
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

Uniformly continuous superposition opera
Uniformly continuous superposition operators in the space of bounded variation functions
✍ Janusz Matkowski πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 85 KB

## Abstract Let __I__, __J__ βŠ‚ ℝ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ Γ— __J__ β†’ ℝ, __H__ (__Ο†__)(__x__) ≔ __h__ (__x__, __Ο†__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,