scholarly journals Spaces of Bessel-potential type and embeddings: the super-limiting case

2004 ◽  
Vol 265 (1) ◽  
pp. 68-86 ◽  
Author(s):  
Júlio S. Neves
Keyword(s):  
Bessel Potential ◽  
Potential Type ◽  
Limiting Case

Optimal Embeddings of Bessel-Potential-Type Spaces into Generalized Hölder Spaces Involving k-Modulus of Smoothness

2009 ◽  
Vol 32 (3) ◽  
pp. 201-228 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Júlio S. Neves ◽  
Bohumír Opic
Keyword(s):  
Modulus Of Smoothness ◽  
Bessel Potential ◽  
Hölder Spaces ◽  
Potential Type ◽  
Type Spaces ◽  
Holder Spaces

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

2008 ◽  
Vol 262 (3) ◽  
pp. 645-682 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Júlio S. Neves ◽  
Bohumír Opic
Keyword(s):  
Bessel Potential ◽  
Compact Embeddings ◽  
Potential Type ◽  
Type Spaces

Optimality of embeddings of Bessel-potential-type spaces into Lorentz–Karamata spaces

2004 ◽  
Vol 134 (6) ◽  
pp. 1127-1147 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Bohumír Opic ◽  
Júlio S. Neves
Keyword(s):  
Embedding Theorems ◽  
Bessel Potential ◽  
Potential Type ◽  
Type Spaces ◽  
Growth Envelopes ◽  
Bessel Potential Spaces

We establish sharpness of embedding theorems for Bessel-potential spaces modelled upon Lorentz–Karamata (LK) spaces and we prove the non-compactness of such embeddings. Target spaces in our embeddings are LK spaces. As a consequence of our results, we get growth envelopes of Bessel-potential spaces modelled upon LK spaces.

scholarly journals Sharpness and non-compactness of embeddings of Bessel-potential-type spaces

2007 ◽  
Vol 280 (9-10) ◽  
pp. 1083-1093 ◽  
Author(s):  
Amiran Gogatishvili ◽  
Júlio Severino Neves ◽  
Bohumír Opic
Keyword(s):  
Bessel Potential ◽  
Potential Type ◽  
Type Spaces

Optimality of embeddings of Bessel-potential-type spaces into generalized Hölder spaces

2005 ◽  
Vol 49 ◽  
pp. 297-327 ◽  
Author(s):  
A. Gogatishvili ◽  
J. S. Neves ◽  
B. Opic
Keyword(s):  
Bessel Potential ◽  
Hölder Spaces ◽  
Potential Type ◽  
Type Spaces ◽  
Holder Spaces
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