The Composition Operator and the Space of the Functions of Bounded Variation in Schramm-Korenblum's Sense
We show that the composition operator H, associated with h:[a,b]→ℝ, maps the spaces Lip[a,b] on to the space κBVϕa,b of functions of bounded variation in Schramm-Korenblum's sense if and only if h is locally Lipschitz. Also, verify that if the composition operator generated by h:[a,b]×ℝ→ℝ maps...
| Published in: | Journal of Function Spaces and Applications |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Online Access: | http://dx.doi.org/10.1155/2013/284389 |