Book
On anisotropic Triebel-Lizorkin type spaces with applications to the study of pseudo-differential operators
| العنوان: | On anisotropic Triebel-Lizorkin type spaces with applications to the study of pseudo-differential operators |
|---|---|
| المؤلفون: | Borup, Lasse, Nielsen, Morten |
| المصدر: | Borup , L & Nielsen , M 2006 , On anisotropic Triebel-Lizorkin type spaces with applications to the study of pseudo-differential operators . Research Report Series , no. R-2006-25 , Department of Mathematical Sciences, Aalborg University , Aalborg . |
| بيانات النشر: | Department of Mathematical Sciences, Aalborg University |
| سنة النشر: | 2006 |
| المجموعة: | Aalborg University (AAU): Publications / Aalborg Universitet: Publikationer |
| الوصف: | A construction of Triebel-Lizorkin type spaces associated with flexible decompositions of the frequency space $R^d$ is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on $R^d$ and a suitable decomposition function. The decomposition function governs the structure of the decomposition of the frequency space, and for a very particular choice of decomposition function the spaces are reduced to classical (anisotropic) Triebel-Lizorkin spaces. An explicit atomic decomposition of the Triebel-Lizorkin type spaces is provided, and their interpolation properties are studied. As the main application, we consider H¨ormander type classes of pseudo-differential operators adapted to the anisotropy and boundedness of such operators between corresponding Triebel-Lizorkin type spaces is proved. ; A construction of Triebel-Lizorkin type spaces associated with flexible decompositions of the frequency space $R^d$ is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on $R^d$ and a suitable decomposition function. The decomposition function governs the structure of the decomposition of the frequency space, and for a very particular choice of decomposition function the spaces are reduced to classical (anisotropic) Triebel-Lizorkin spaces. An explicit atomic decomposition of the Triebel-Lizorkin type spaces is provided, and their interpolation properties are studied. As the main application, we consider H¨ormander type classes of pseudo-differential operators adapted to the anisotropy and boundedness of such operators between corresponding Triebel-Lizorkin type spaces is proved. |
| نوع الوثيقة: | book |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | https://vbn.aau.dk/da/publications/ed85a500-7968-11db-805f-000ea68e967b |
| الاتاحة: | https://vbn.aau.dk/da/publications/ed85a500-7968-11db-805f-000ea68e967b https://vbn.aau.dk/ws/files/4751480/R-2006-25.pdf |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.8BFF9747 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |