Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces

By using the rotation method, a sharp bound for an n-dimensional Hardy operator on mixed radial-angular central Morrey spaces is obtained. Furthermore, a sharp weak-type estimate for an n-dimensional Hardy operator on mixed radial-angular central Morrey spaces is established. In addition, we also calculate the sharp constant for an n-dimensional m-linear Hardy operator from product mixed radial-angular central Morrey spaces to mixed radial-angular weak central Morrey spaces. Since mixed radial-angular central Morrey spaces are generalizations of both central Morrey spaces and mixed radial-angular spaces, the main theorems in this paper extend various existing results to a more general setting.

Automated summary

By using the rotation method, the paper obtains sharp bounds and weak-type estimates for n-dimensional Hardy operators on mixed radial-angular central Morrey spaces. The paper also calculates the sharp constants for n-dimensional m-linear Hardy operators from product mixed radial-angular central Morrey spaces to mixed radial-angular weak central Morrey spaces. The main theorems extend various existing results to a more general setting by considering mixed radial-angular central Morrey spaces.