Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume 2023, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1186/s13660-023-02936-y
Keywords
Hardy operator; Sharp bound; m-linear Hardy operator; Mixed radial-angular central Morrey space; Rotation method
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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.
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.
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