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高校应用数学学报
高校应用数学学报  2016, Vol. 31 Issue (2): 194-202    
    
加权Morrey空间上分数次极大算子的双权不等式
张婷婷1, 刘秋菊2, 谢永红2∗
1. 石家庄职业技术学院 经济贸易系, 河北石家庄 050000
2. 河北师范大学 数学与信息科学学院, 河北石家庄 050024
Two-weight norm inequalities for fractional maximal operator on weighted Morrey spaces
ZHANG Ting-ting1, LIU Qiu-ju2, XIE Yong-hong2
1.Department of Economy and Trade, Shijiazhuang Vocational Technology Institute, Shijiazhuang 050000, China
2. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China
 全文: PDF 
摘要： Ye与Wang研究了Hardy-Littlewood极大算子在加权Morrey空间的双权不等式. 该文将Ye与Wang的结果拓展到分数次极大算子, 此外也得到了$A_p$型的充分条件.
关键词： 分数次极大算子;  双权不等式;  加权Morrey空间    
Abstract: The two-weighted norm inequalities associated with the Hardy-Littlewood maximal operator on weighted Morrey spaces were discussed by Ye and Wang. These results of Ye and Wang were expanded into fractional maximal operator, and sufficient conditions for Ap type were also obtained.
Key words: fractional maximal operator    two-weighted inequality    weighted Morrey space
收稿日期: 2015-10-10 出版日期: 2018-05-17
CLC:  O177  
基金资助: 国家自然科学基金(11401164; 11301136; 11571089; 11401159); 河北省自然科学基金(A2014205069); 浙江省自然科学基金(LY14A010017); 河北师范大学博士基金(L2015B04)
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引用本文:

张婷婷, 刘秋菊, 谢永红. 加权Morrey空间上分数次极大算子的双权不等式[J]. 高校应用数学学报, 2016, 31(2): 194-202.

ZHANG Ting-ting, LIU Qiu-ju, XIE Yong-hong. Two-weight norm inequalities for fractional maximal operator on weighted Morrey spaces. Applied Mathematics A Journal of Chinese Universities, 2016, 31(2): 194-202.

链接本文:

http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2016/V31/I2/194

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