𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Optimal embeddings and compact embeddings of Bessel-potential-type spaces

✍ Scribed by Amiran Gogatishvili; Júlio S. Neves; Bohumír Opic


Publisher
Springer-Verlag
Year
2008
Tongue
French
Weight
485 KB
Volume
262
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Sharpness and non-compactness of embeddi
✍ Amiran Gogatishvili; Júlio Severino Neves; Bohumír Opic 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 182 KB

## Abstract We establish embeddings for Bessel potential spaces modeled upon Lorentz–Karamata spaces with order of smoothness less than one. The target spaces are of Hölder‐continuous type. In the super‐limiting case we also prove that the embedding is sharp and fails to be compact. (© 2007 WILEY‐V

On Embeddings of Logarithmic Bessel Pote
✍ David E. Edmunds; Petr Gurka; Bohumı́r Opic 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 471 KB

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

Spaces of Bessel-potential type and embe
✍ Júlio S. Neves 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 273 KB

## 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

Embeddings of Weakly Compact Sets and *-
✍ H.J.K. Junnila 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 160 KB

We use properties of Day's norm on c 0 (}) to prove that, for every Eberlein compact space K, there exists a separately continuous symmetric mapping d: K\_K Ä R such that we have d(x, y)< d(x, x)+d( y, y) 2 for any two distinct points x and y of K. As a consequence, we have that every Eberlein compa