Multilinear Hausdorff operators and their best constants (Q1757927)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Multilinear Hausdorff operators and their best constants |
scientific article; zbMATH DE number 6102774
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multilinear Hausdorff operators and their best constants |
scientific article; zbMATH DE number 6102774 |
Statements
Multilinear Hausdorff operators and their best constants (English)
0 references
7 November 2012
0 references
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.
0 references
multilinear Hausdorff operator
0 references
Herz space
0 references
sharp bounds
0 references