## 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,
β¦ LIBER β¦
A Remark on the Space of Functions of Bounded p-Variation
β Scribed by S. V. Kisliakov
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 213 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
~t ~s i
I l -i s n R arbitrary
The function 11./1 is a norm on the set V , of all functions f wit,h f ( 0 ) = 0. supplied with this norm I ; , is a BAXACH space. For p=-1 set ct,(f) = Iim sup ( lf(ti) -/(ti -,) i p)i 'p
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