Function spaces of Hardy Sobolev Besov type on symmetric spaces of noncompact type and unimodular Lie groups are investigated. The spaces were originally defined by uniform localization. In the paper we give a characterization of the space F s p, q (X ) and B s p, q (X ) in terms of heat and Poisson
β¦ LIBER β¦
Characterizations of Besov-Hardy-Sobolev spaces via harmonic functions, temperatures, and related means
β Scribed by Hans Triebel
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 980 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0021-9045
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## Abstract We study the maximal function M__f__(__x__) = sup |__f__(__x__ + __y, t)|__ when Ξ© is a region in the (__y,t__) Ξ© upper half space R and __f(x, t__) is the harmonic extension to R~+~__^N+1^__ of a distribution in the Besov space B^Ξ±^__~p,q~__(R__^N^__) or in the TriebelβLizorkin space F
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