scholarly journals Commutators of fractional integral with variable kernel on variable exponent Herz-Morrey spaces

2019 ◽  
Vol 3(2019) (1) ◽  
pp. 19-29 ◽  
Author(s):  
Afif Abdalmonem ◽  
◽  
Omer Abdalrhman ◽  
Hossam Eldeen Mohammed ◽  
◽  
...  
Keyword(s):  
Variable Exponent ◽  
Fractional Integral ◽  
Morrey Spaces ◽  
Variable Kernel

scholarly journals Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Xukui Shao ◽  
Shuangping Tao
Keyword(s):  
Lebesgue Space ◽  
Variable Exponent ◽  
Fractional Integral ◽  
Weak Type ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Variable Kernel ◽  
Fractional Integral Operators ◽  
Weak Type Estimates ◽  
Weak Morrey Spaces

In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. The corresponding commutators generated by BMO and Lipschitz functions are considered, respectively.

scholarly journals Multilinear fractional integral operators on central Morrey spaces with variable exponent

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Hongbin Wang ◽  
Jingshi Xu
Keyword(s):  
Variable Exponent ◽  
Fractional Integral ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Fractional Integral Operators ◽  
Multilinear Fractional Integral

AbstractIn this paper, we obtain the boundedness of the multilinear fractional integral operators and their commutators on central Morrey spaces with variable exponent.

scholarly journals Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces

2016 ◽  
Vol 07 (10) ◽  
pp. 1165-1182 ◽  
Author(s):  
Afif Abdalmonem ◽  
Omer Abdalrhman ◽  
Shuangping Tao
Keyword(s):  
Variable Exponent ◽  
Fractional Integral ◽  
Herz Spaces ◽  
Variable Kernel

Norm inequalities on variable exponent vanishing Morrey type spaces for the rough singular type integral operators

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ferit Gürbüz ◽  
Shenghu Ding ◽  
Huili Han ◽  
Pinhong Long
Keyword(s):  
Integral Operator ◽  
Singular Integral ◽  
Variable Exponent ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Rough Kernel ◽  
Type Integral ◽  
Type Spaces ◽  
Bounded Sets ◽  
Littlewood Maximal Operator

AbstractIn this paper, applying the properties of variable exponent analysis and rough kernel, we study the mapping properties of rough singular integral operators. Then, we show the boundedness of rough Calderón–Zygmund type singular integral operator, rough Hardy–Littlewood maximal operator, as well as the corresponding commutators in variable exponent vanishing generalized Morrey spaces on bounded sets. In fact, the results above are generalizations of some known results on an operator basis.

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