On metric space valued functions of bounded essential variation
Let ∅≠T ⊂ R and let X be a metric space. For an ideal J ⊂ P(T) and a function f:T-> X, we define the essential variation V Jess(f, T) as the in mum of all variations V (g; T) where g:T-> X, g = f on TE, and E in J. We show that if X is complete then the essential variation of f is equal to inf...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Petrozavodsk State University
2005-01-01
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| Series: | Проблемы анализа |
| Online Access: | http://issuesofanalysis.petrsu.ru/files/pdf/1988_en.pdf |