## Abstract Let __X__ = (__X__, __d__, __ΞΌ__)be a doubling metric measure space. For 0 < __Ξ±__ < 1, 1 β€__p__, __q__ < β, we define semiβnorms equation image When __q__ = β 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
β¦ LIBER β¦
On the metrical properties of the configuration space
β Scribed by Yu. G. Kondratiev; O. V. Kutoviy
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 145 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We study some topological and metrical properties of configuration spaces. In particular, we introduce a family of metrics on the configuration space Ξ, which makes it a Polish space. Compact functions on Ξ are also considered. (Β© 2006 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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