The trace of Sobolev-Slobodeckij spaces on Lipschitz domains (Q1084296)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The trace of Sobolev-Slobodeckij spaces on Lipschitz domains |
scientific article; zbMATH DE number 3977689
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The trace of Sobolev-Slobodeckij spaces on Lipschitz domains |
scientific article; zbMATH DE number 3977689 |
Statements
The trace of Sobolev-Slobodeckij spaces on Lipschitz domains (English)
0 references
1987
0 references
Some well-known trace theorems for Sobolev-Slobodeckij spaces are proved under minimal regularity assumptions on the domain. It is shown that on Lipschitz domains the kernel of the trace operator is equal to the closure of the test-functions. Also the known characterization of the image of the trace operator is proved under minimal regularity assumptions. The main tool is the theory of general Besov spaces developed by \textit{A. Jonsson} and \textit{H. Wallin} [see Math. Rep., Chur 2, Pt. 1 (1984)].
0 references
trace theorems for Sobolev-Slobodeckij spaces
0 references
Lipschitz domains
0 references
kernel of the trace operator
0 references
image of the trace operator
0 references
general Besov spaces
0 references
0 references
0.96827126
0 references
0.95265937
0 references
0.9411226
0 references
0 references
0.93866575
0 references
0.93537927
0 references
0.9302782
0 references
0 references
0.92737484
0 references
