|
| 摘要: |
| 本文研究了广义分数次积分算子在齐次加权Morrey-Herz空间上的有界性.利用对函数进行环形分解技术和算子截断的方法,获得了广义分数次积分算子L-(β)/(2)(f)从MKp,q1α,λ(ω1,ω2q1)空间到MKp,q2α,λ(ω1,ω2q2)空间是有界的,从而将分数次积分算子在齐次加权Morrey-Herz空间上的有界性推广到广义分数次积分算子. |
| 关键词: 广义分数次积分算子 齐次加权Morrey-Herz空间 Ap权 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:国家自然科学基金资助项目(11261055);新疆自然科学基金资助项目(2011211A005);新疆大学自然科学基金资助项目(BS120104). |
|
| THE BOUNDEDNESS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS ON THE WEIGHTED HOMOGENEOUS MORREY-HERZ SPACES |
|
ZHANG Chao-nan,ZHOU Jiang,CAO Yong-hui
|
| Abstract: |
| In this article, we study the boundedness of the generalized fractional integral operators on the weighted homogeneous Morrey-Herz spaces. By the methods of studying ring decomposition of functions and truncated operators, we get that the generalized fractional integral operator L-(β)/(2)(f) is bounded from MKp,q1α,λ(ω1,ω2q1) space to MKp,q2α,λ(ω1,ω2q2) space. Thus, we extend the results of the boundedness of the fractional integral operators on the weighted homogeneous Morrey-Herz spaces to generalized fractional integral operators. |
| Key words: generalized fractional integral operators the weighted homogeneous MorreyHerz spaces Ap weight |
