| Title:
|
Traces of functions with a dominating mixed derivative in $\Bbb R^3$ (English) |
| Author:
|
Vybíral, Jan |
| Author:
|
Sickel, Winfried |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
4 |
| Year:
|
2007 |
| Pages:
|
1239-1273 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate traces of functions, belonging to a class of functions with dominating mixed smoothness in ${\mathbb{R}}^3$, with respect to planes in oblique position. In comparison with the classical theory for isotropic spaces a few new phenomenona occur. We shall present two different approaches. One is based on the use of the Fourier transform and restricted to $p=2$. The other one is applicable in the general case of Besov-Lizorkin-Triebel spaces and based on atomic decompositions. (English) |
| Keyword:
|
Sobolev spaces of dominating mixed smoothness |
| Keyword:
|
Besov and Lizorkin-Triebel classes of dominating mixed smoothness |
| Keyword:
|
Fourier analytic characterizations |
| Keyword:
|
atomic decompositions |
| Keyword:
|
traces on hyperplanes in oblique position |
| MSC:
|
42B35 |
| MSC:
|
46E35 |
| idZBL:
|
Zbl 1174.42027 |
| idMR:
|
MR2357589 |
| . |
| Date available:
|
2009-09-24T11:52:41Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128236 |
| . |
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