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Applied Mathematics A Journal of Chinese Universities  2016, Vol. 31 Issue (2): 194-202    DOI:
    
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
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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 wordsfractional maximal operator      two-weighted inequality      weighted Morrey space     
Received: 10 October 2015      Published: 17 May 2018
CLC:  O177  
Cite this article:

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.

URL:

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


加权Morrey空间上分数次极大算子的双权不等式

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 
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