Boundedness of Vector Valued Bilinear Calderón-Zygmund Operators on Products of Weighted Herz-Morrey Spaces with Variable Exponents

被引：0
作者：
Shengrong Wang
Jingshi Xu
机构：
[1] Guilin University of Electronic Technology,School of Mathematics and Computing Science
[2] Guilin University of Electronic Technology,School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation
来源：
Chinese Annals of Mathematics, Series B | 2021年 / 42卷
关键词：
Bilinear Calderón-Zygmund operator; Vector valued inequality; Muckenhoupt weight; Variable exponent; Herz-Morrey space; 42B25; 42B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the authors obtain the boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents.
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页码：693 / 720
页数：27
相关论文
共 52 条
[1]  
Almeida A(2010)Besov spaces with variable smoothness and integrability J. Funct. Anal. 258 1628-1655
[2]  
Hästö P(2013)Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multipliers Bull. Sci. Math. 137 63-75
[3]  
Bui T A(1975)On commutators of singular integrals and bilinear singular integrals Trans. Amer. Math. Soc 212 315-331
[4]  
Duong X T(2011)The maximal operator on weighted variable Lebesgue spaces Fract. Calc. Appl. Anal. 14 361-374
[5]  
Coifman R R(2012)Weighted norm inequalities for the maximal operator on variable Lebesgue spaces J. Math. Anal. Appl. 394 744-760
[6]  
Meyer Y(2004)Extrapolation from J. Funct. Anal. 213 412-439
[7]  
Cruz-Uribe D(2016) weights and applications Trans. Amer. Math. Soc 369 1205-1235
[8]  
Diening L(2001)Extrapolation and weighted norm inequalities in the variable Lebesgue spaces Collect. Math. 52 169-179
[9]  
Hästö P(2002)Multilinear Calderón-Zygmund operators on Hardy spaces Indiana Univ. Math. J. 51 1261-1276
[10]  
Cruz-Uribe D(2002)Maximal operator and weighted norm inequalities for multilinear singular integrals Adv. Math. 165 124-164
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