A class of Adams–Fontana type inequalities and related functionals on manifolds
✍ Scribed by Yunyan Yang; Liang Zhao
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2009
- Tongue
- English
- Weight
- 253 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1021-9722
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## Abstract This paper deals with an improvement of a class of the Trudinger‐Moser inequality with a singular weight associated to the embedding of the standard Sobolev space __H__^1^~0~(Ω) into Orlicz spaces for any smooth domain \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyl
We construct compact hyperbolic 3-manifolds with totally geodesic boundary, arbitrarily many of the same volume. The fundamental groups of these 3-manifolds are groups with one defining relation. Our main result is a classification of these manifolds up to homeomorphism, resp. isometry.
The paper deals with function spaces F>,?(R", a ) and P;X(Rn, a ) defined on the EucLIDean n-space R". These spaces will be defined on the basis of function spaces of BESOV-HARDY-SOBOLEV type F;,(Rn) and B:,JRn) -see-[25], and by appropriate pseudo-differential operators A(x, 0,). We get scales of s