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Boundedness conditions and the norm of the operator of internal superposition in the space of vector functions

โœ Scribed by A. B. Antonevich


Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
337 KB
Volume
45
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES


Uniformly continuous superposition opera
โœ Janusz Matkowski ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 85 KB

## Abstract Let __I__, __J__ โŠ‚ โ„ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ ร— __J__ โ†’ โ„, __H__ (__ฯ†__)(__x__) โ‰” __h__ (__x__, __ฯ†__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,