Integral representations of functions and embeddings of sobolev spaces on cuspidal domains
β Scribed by D. A. Labutin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1997
- Tongue
- English
- Weight
- 968 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
Automorphism groups of symmetric domains in Hilbert spaces form a natural class of infinite dimensional Lie algebras and corresponding Banach Lie groups. We give a classification of the algebraic category of unitary highest weight modules for such Lie algebras and show that infinite dimensional vers
The article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic behaviour of the norm of the Sobolev-type embedding operator: W s;p ! L pn=Γ°nΓspΓ as s " 1 and s " n=p: Their result is extended to all values of s 2 Γ°0; 1Γ and is supplied with an elementary proof. The relati