We present embedding theorems for certain logarithmic Bessel potential spaces modelled upon generalized Lorentz Zygmund spaces and clarify the role of the logarithmic terms involved in the norms of the space mentioned. In particular, we get refinements of the Sobolev embedding theorems, Trudinger's
Double-exponential embeddings of logarithmic spaces
โ Scribed by Petr Gurka; Jan Lang
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 118 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0025-584X
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โฆ Synopsis
Abstract
Using extrapolation methods we derive embeddings of logarithmic spaces of Besov, Sobolev or TriebelโLizorkin type into doubleโexponential Orlicz spaces.
๐ SIMILAR VOLUMES
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