Φ-Convex Functions Defined on Metric Spaces
✍ Scribed by S. Rolewicz
- Book ID
- 110433824
- Publisher
- Springer US
- Year
- 2003
- Tongue
- English
- Weight
- 255 KB
- Volume
- 115
- Category
- Article
- ISSN
- 1573-8795
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Thanks to the recent concept of quasilinearization of Berg and Nikolaev, we have introduced the notion of duality and subdifferential on complete CAT (0) (Hadamard) spaces. For a Hadamard space X , its dual is a metric space X \* which strictly separates non-empty, disjoint, convex closed subsets o
## Abstract Let __X__ = (__X__, __d__, __μ__)be a doubling metric measure space. For 0 < __α__ < 1, 1 ≤__p__, __q__ < ∞, we define semi‐norms equation image When __q__ = ∞ the usual change from integral to supremum is made in the definition. The Besov space __B~p, q~^α^__ (__X__) is the set of th