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On metric properties of spaces in classification problems

✍ Scribed by K. V. Rudakov; A. A. Cherepnin; Yu. V. Chekhovich

Book ID
111454463
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
166 KB
Volume
76
Category
Article
ISSN
1064-5624

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## Abstract Let __X__ = (__X__, __d__, __ΞΌ__)be a doubling metric measure space. For 0 < __Ξ±__ < 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~^Ξ±^__ (__X__) is the set of th