Some new function spaces of variable smoothness
Journal Article
·
· Sbornik. Mathematics
- Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Region (Russian Federation)
A new Besov space of variable smoothness is introduced on which the norm is defined in terms of difference relations. This space is shown to be the trace of a weighted Sobolev space with a weight in the corresponding Muckenhoupt class. Methods of nonlinear spline approximation are applied to derive an atomic decomposition theorem for functions in a Besov space of variable smoothness. A complete description of traces on the hyperplane of a Besov space of variable smoothness and of a weighted Besov space with a weight in the corresponding Muckenhoupt class is given. Bibliography: 27 titles.
- OSTI ID:
- 22590455
- Journal Information:
- Sbornik. Mathematics, Vol. 206, Issue 6; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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