On the variational problem in the space of absolutely continuous functions
β Scribed by Michael Drakhlin
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 361 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
## 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,
We consider some quantities in the space of functions continuous on a bounded interval, which are related to monotonicity of functions. Based on those quantities we construct a few measures of noncompactness in the mentioned function space. Several properties of those measures are established; among