central morrey space
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Author(s):  
Naqash Sarfraz ◽  
Ferít Gürbüz

Abstract In this paper, the boundedness of the Hausdorff operator on weak central Morrey space is obtained. Furthermore, we investigate the weak bounds of the p-adic fractional Hausdorff operator on weighted p-adic weak Lebesgue spaces. We also obtain the sufficient condition of commutators of the p-adic fractional Hausdorff operator by taking symbol function from Lipschitz spaces. Moreover, strong type estimates for fractional Hausdorff operator and its commutator on weighted p-adic Lorentz spaces are also acquired.



2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Hongbin Wang ◽  
Jiajia Wang ◽  
Zunwei Fu

We define the new central Morrey space with variable exponent and investigate its relation to the Morrey-Herz spaces with variable exponent. As applications, we obtain the boundedness of the homogeneous fractional integral operator TΩ,σ and its commutator [b,TΩ,σ] on Morrey-Herz space with variable exponent, where Ω∈Ls(Sn-1) for s≥1 is a homogeneous function of degree zero, 0<σ<n, and b is a BMO function.



2016 ◽  
Vol 31 (3) ◽  
pp. 331-342 ◽  
Author(s):  
Xiao Yu ◽  
Hui-hui Zhang ◽  
Guo-ping Zhao


2013 ◽  
Vol 29 (10) ◽  
pp. 1917-1926 ◽  
Author(s):  
Xiao Yu ◽  
Xiang Xing Tao


2012 ◽  
Vol 2012 ◽  
pp. 1-17
Author(s):  
Yun Fan ◽  
Guilian Gao

We study the boundedness of rough bilinear fractional integralBΩ,αon Morrey spacesLp,λ(ℝn)and modified Morrey spacesL~p,λ(ℝn)and obtain some sufficient and necessary conditions on the parameters. Furthermore, we consider the boundedness ofBΩ,αon generalized central Morrey spaceB˙p,φ(ℝn). These extend some known results.



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