| 齐型空间上Hardy—Littlewood极大算子的双权模不等式 |
| |
| 引用本文： | 王汝发,李德生.齐型空间上Hardy—Littlewood极大算子的双权模不等式[J].贵州师范大学学报(自然科学版),1994,12(2):52-57. |
| |
| 作者姓名： | 王汝发 李德生 |
| |
| 作者单位： | 新疆昌吉师专，甘肃庆阳师专 |
| |
| 摘 要： | 本文研究了齐型空间上的Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ极大算子关于一类特殊的双权模不等式，刻划了Ｈａｒｄｙ－Ｌｉｔｔｌｅｗｏｏｄ极大算子Ｍμ为Ｌｐ（ｖｄμ）到Ｌｐ（ｕｄμ）上有界算子的权对（ｕ，Ｖ）的充要条件。
|
| 关 键 词： | 齐型空间，Hardy－Littlewood极大算子，Muckengoupt的Ap类，加权模不等式 |
TWO WEIGHTED NORM INEQUALITIES FOR THE HARDYLITTLEWOOD MAXIMAL OPERATOR ON SPACES OF HOMOGENEOUS TYPE |
| |
| Li Desheng.TWO WEIGHTED NORM INEQUALITIES FOR THE HARDYLITTLEWOOD MAXIMAL OPERATOR ON SPACES OF HOMOGENEOUS TYPE[J].Journal of Guizhou Normal University(Natural Sciences),1994,12(2):52-57. |
| |
| Authors: | Li Desheng |
| |
| Abstract: | In this paper, we have studed Hardy-littlewood maximal operator on a special type of two weighted norm inequalities on spaces of Homogeneous Type. We have determined the necessary conditions and sufficient ones on weight pair (u, v ) for which Mμ is bounded from Lq (udμ ) toLp(vdμ) |
| |
| Keywords: | Homogeneous Space Hardy-Littlewood maximal oprpatoes Class of Muckenhoupt A_p Weighted norm inequalities |
| 本文献已被 CNKI 维普 等数据库收录！ |
