Multilinear Hausdorff operators and their best constants
The most general multidimensional Hausdorff operator has been introduced in papers by G. Brown and F. Móricz and by \textit{A. Lerner} and \textit{E. Liflyand} [J. Aust. Math. Soc. 83, No. 1, 79--86 (2007; Zbl 1143.47023)]. Some partial cases are studied in the paper under review. The spaces considered are the Lebesgue spaces and Herz spaces. The main point is sharp constants in certain cases.
scientific article; zbMATH DE number 6102774