Multilinear Hausdorff operators and their best constants
type: Item
instance of: scholarly article
title: Multilinear Hausdorff operators and their best constants
zbMATH Open document ID: 1261.42035
author: Jiecheng Chen
author: Dashan Fan
author: Chunjie Zhang
publication date: 2012-11-07T00:00:00Z
review text: 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.
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 42B20
zbMATH DE Number: 6102774
zbMATH Keywords: multilinear Hausdorff operator
zbMATH Keywords: Herz space
zbMATH Keywords: sharp bounds
MaRDI profile type: Publication
full work available at URL: s10114-012-1455-7
OpenAlex ID: W4383098164
cites work: Weak Lebesgue spaces and quantum mechanical binding
cites work: Weighted Lorentz spaces and the Hardy operator
cites work: Best Constants for Two Nonconvolution Inequalities
cites work: Characterization for commutators of \(n\)-dimensional fractional Hardy operators
cites work: Hausdorff operators on function spaces
cites work: Multidimensional Hausdorff operators on the real Hardy space
cites work: Boundedness of the Hausdorff operators in Hpspaces, 0<p<1
cites work: The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
cites work: Q5388095
DOI: 10.1007/S10114-012-1455-7
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6102774