摘要
Orlicz空间是一类较具体的Banach空间,在Banach空间理论和应用的研究中起着非常重要的作用。定义多个单线性分数次极大算子的乘积算子为■,得到■的弱有界性,再利用■控制多线性分数次极大算子,得到多线性分数次极大算子的弱有界性。所得结果扩充了分数次极大算子在Orlicz空间的有界性结论。
Orlicz space is a specific kind of Banach space, which plays an important role in the research of Banach space theory and application. The product operator of multiple linear fractional maximal operators is defined as M α, with its weak boundedness obtained. Then, by using M α to control multi-linear fractional maximal operators, the weak boundedness of multi-linear fractional maximal operators is obtained. The results extend the boundedness of fractional maximal operators in Orlicz space.
作者
张友朋
陶祥兴
ZHANG Youpeng;TAO Xiangxing(School of Sciences,Zhejiang University of Science and Technology,Hangzhou 310023,Zhejiang,China)
出处
《浙江科技学院学报》
CAS
2019年第3期169-174,共6页
Journal of Zhejiang University of Science and Technology
基金
国家自然科学基金项目(11771399
11801509)
