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
✦ LIBER ✦
Traces of multipliers in the space of Bessel potentials
✍ Scribed by T. O. Shaposhnikova
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1989
- Tongue
- English
- Weight
- 422 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0001-4346
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## Abstract We consider Bessel‐potential spaces modelled upon Lorentz‐Karamata spaces and establish embedding theorems in the super‐limiting case. In addition, we refine a result due to Triebel, in the context of Bessel‐potential spaces, itself an improvement of the Brézis‐Wainger result (super‐lim