| 具有一定混合光滑模的Besov型函数空间内的迹定理 |
| |
| 引用本文： | 孙永生.具有一定混合光滑模的Besov型函数空间内的迹定理[J].北京师范大学学报(自然科学版),1995,31(3):290-295. |
| |
| 作者姓名： | 孙永生 |
| |
| 作者单位： | 北京师范大学数学系 |
| |
| 摘 要： | 在多元周期的Ｌｐ（１〈ｐ〈∞）空间内，对一类具有一定混合光滑模的，被赋以Ｂｅｓｏｖ型范数的线性子空间，利用Ｎｉｋｏｌｓｋｉｉ－Ｌｉｚｏｒｋｉｎ型的函数表现定理证明了嵌入定理，迹定理及其逆定理（延拓定理）。
|
| 关 键 词： | 混合光滑模 Besov型范数 迹定理 函数空间 |
ON TRACE THEOREMS IN A BESOV-TYPE SPACE OF MULTIVARIATE PERIODIC FUNCTIONS WITH A GIVEN MIXED MODULOUS OF SMOOTHNESS |
| |
| Sun Yongsheng.ON TRACE THEOREMS IN A BESOV-TYPE SPACE OF MULTIVARIATE PERIODIC FUNCTIONS WITH A GIVEN MIXED MODULOUS OF SMOOTHNESS[J].Journal of Beijing Normal University(Natural Science),1995,31(3):290-295. |
| |
| Authors: | Sun Yongsheng |
| |
| Abstract: | In a class of Besov-type normed linear spaces of multivariate periodic functions with a given mixed modulous of smoothness some imbedding theorem and trace theorems are established. The main tool to get these results is a representation theorem of Besov-Nikolskii type especially established for these spaces. |
| |
| Keywords: | mixed modulous of smoothness Besov type norm representation theorem trace theorem imbedding theorem |
| 本文献已被 CNKI 维普 等数据库收录！ |
