title: Weighted multilinear hardy operators on Herz type spaces.
abstract: This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively. We present a sufficient condition on the weight function that guarantees weighted multilinear Hardy operators to be bounded on the product Herz spaces. And the condition is necessary under certain assumptions. Finally, we extend the obtained results to the product Morrey-Herz spaces.
authors: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China.
authors: Shuli
authors: S
authors: Gong
authors: Department of Mathematics, Linyi University, Linyi, Shandong 276005, China.
authors: Zunwei
authors: Z
authors: Fu
authors: College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing, Zhejiang 314001, China.
authors: Bolin
authors: B
authors: Ma
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical