Academic Journal
Traces of functions with a dominating mixed derivative in $\Bbb R^3$
| العنوان: | Traces of functions with a dominating mixed derivative in $\Bbb R^3$ |
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| المؤلفون: | Vybíral, Jan, Sickel, Winfried |
| بيانات النشر: | Institute of Mathematics, Academy of Sciences of the Czech Republic Matematický ústav AV ČR |
| سنة النشر: | 2007 |
| المجموعة: | DML-CZ (Czech Digital Mathematics Library) |
| مصطلحات موضوعية: | 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 |
| الوصف: | 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. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0011-4642 1572-9141 |
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| الاتاحة: | http://hdl.handle.net/10338.dmlcz/128236 |
| Rights: | access:Unrestricted ; rights:DML-CZ Czech Digital Mathematics Library, http://dml.cz/ ; rights:Institute of Mathematics AS CR, http://www.math.cas.cz/ ; conditionOfUse:http://dml.cz/use |
| رقم الانضمام: | edsbas.5CAD1507 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 00114642 15729141 |
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