scholarly journals Multilinear fractional integral with rough kernel on variable exponent Morrey-Herz spaces

2019 ◽  
Vol 3 (1) ◽  
pp. 167-183 ◽  
Author(s):  
Afif Abdalmonem ◽  
◽  
Omer Abdalrhman ◽  
Shuangping Tao ◽  
◽  
...  
Keyword(s):  
Variable Exponent ◽  
Fractional Integral ◽  
Rough Kernel ◽  
Herz Spaces ◽  
Multilinear Fractional Integral

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

scholarly journals Higher Order Commutators of Fractional Integral Operator on the Homogeneous Herz Spaces with Variable Exponent

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Liwei Wang ◽  
Meng Qu ◽  
Lisheng Shu
Keyword(s):  
Integral Operator ◽  
Variable Exponent ◽  
Fractional Integral ◽  
Higher Order ◽  
Lipschitz Functions ◽  
Fractional Integral Operator ◽  
Herz Spaces ◽  
Bmo Functions

By decomposing functions, we establish estimates for higher order commutators generated by fractional integral with BMO functions or the Lipschitz functions on the homogeneous Herz spaces with variable exponent. These estimates extend some known results in the literatures.

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.

Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel

1998 ◽  
Vol 50 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Yong Ding ◽  
Shanzhen Lu
Keyword(s):  
Integral Operator ◽  
Fractional Integral ◽  
Integral Operators ◽  
Rough Kernel ◽  
Degree Zero ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities ◽  
Fractional Integral Operators ◽  
Image Position

AbstractGiven function Ω on ℝn , we define the fractional maximal operator and the fractional integral operator by and respectively, where 0 < α < n. In this paper we study the weighted norm inequalities of MΩα and TΩα for appropriate α, s and A(p, q) weights in the case that Ω∈ Ls(Sn-1)(s> 1), homogeneous of degree zero.

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