Convergence of Calderon formula for two parameters
| Autor: | Jiang-Wei Huang, 黃建偉 |
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| Rok vydání: | 2015 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 103 The Calderón reproducing formula is the most important in the study of harmonic analysis, which has the same the property as the one of approximate identity in many special function spaces. In this thesis, we use the idea of separation variables and atomic decomposition to extend single parameter into two-parameters and discuss the convergence of Calderón reproducing formula of two-parameters in Lp(Rn1 Rn2), in S(Rn1 Rn2) and in S ′(Rn1 Rn2). Finally, we define Besov spaces in two-parameter and show that these spaces are well-defined by Plancherel-Pôlya inequalities. Consequently, we obtain the norm equivalence between Besov spaces and corresponding sequence space in two-parameter. Also we show the convergence of Calderón reproducing formula in Besov space. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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