continuous and compact embeddings
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Continuous and Compact Embeddings of Bessel-Potential-Type Spaces

Spectral Theory, Function Spaces and Inequalities ◽

10.1007/978-3-0348-0263-5_10 ◽

2011 ◽

pp. 157-196 ◽

Cited By ~ 1

Author(s):

Bohumír Opic

Keyword(s):

Bessel Potential ◽

Compact Embeddings ◽

Potential Type ◽

Type Spaces ◽

Continuous And Compact Embeddings

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Continuous and Compact Embeddings Between Star-invariant Subspaces

Complex Analysis, Operators, and Related Topics ◽

10.1007/978-3-0348-8378-8_6 ◽

2000 ◽

pp. 65-76

Author(s):

Konstantin M. Dyakonov

Keyword(s):

Invariant Subspaces ◽

Compact Embeddings ◽

Continuous And Compact Embeddings

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Embeddings of weighted Sobolev spaces into spaces of continuous functions

Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences ◽

10.1098/rspa.1992.0150 ◽

1992 ◽

Vol 439 (1906) ◽

pp. 279-296 ◽

Cited By ~ 5

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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