Continuous and Compact Embeddings of Bessel-Potential-Type Spaces

2011 ◽  
pp. 157-196 ◽  
Author(s):  
Bohumír Opic
Keyword(s):  
Bessel Potential ◽  
Compact Embeddings ◽  
Potential Type ◽  
Type Spaces ◽  
Continuous And Compact Embeddings

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

scholarly journals A weighted inequality for potential type operators

2019 ◽  
Vol 10 (4) ◽  
pp. 413-426
Author(s):  
Aïssata Adama ◽  
Justin Feuto ◽  
Ibrahim Fofana
Keyword(s):  
Convolution Type ◽  
Weighted Inequality ◽  
Lebesgue Spaces ◽  
Potential Type ◽  
Type Spaces ◽  
Weak Lebesgue Spaces ◽  
Potential Type Operators

AbstractWe establish a weighted inequality for fractional maximal and convolution type operators, between weak Lebesgue spaces and Wiener amalgam type spaces on {\mathbb{R}} endowed with a measure which needs not to be doubling.

Embeddings of weighted Sobolev spaces into spaces of continuous functions

1992 ◽  
Vol 439 (1906) ◽  
pp. 279-296 ◽  
Keyword(s):  
Weighted Sobolev Spaces ◽  
Sufficient Conditions ◽  
Continuous Functions ◽  
Hölder Continuous ◽  
Compact Embeddings ◽  
Spaces Of Continuous Functions ◽  
Hölder Continuous Functions ◽  
Continuous And Compact Embeddings ◽  
Necessary And Sufficient ◽  
Theoretical Results

We give sufficient conditions and necessary conditions (which in some cases are both necessary and sufficient) for continuous and compact embeddings of the weighted Sobolev space W 1,p ( Ω ;v 0 v 1 )into spaces of weighted continuous and Holder continuous functions. The theoretical results are illustrated by several examples.

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