On supremum operators
type: Item
instance of: scholarly article
title: On supremum operators
zbMATH Open document ID: 1236.47008
DOI: 10.1134/S1064562411030422
author: Dmitri V. Prokhorov
author: V. D. Stepanov
published in: Doklady Mathematics
publication date: 2012-01-17T00:00:00Z
review text: The authors state some results related to the inequality \(\| Tf\|_{L^{p,q}(w)}\leq C\| f\|_{L^{r,s}(w)},\,f\in\mathcal M^+\), where \(T\) is a Hardy weight operator, \(\mathcal M^+\) is a subset consisting of nonincreasing functions, and \(L^{p,q}(w)\) is a Lorentz space.
reviewed by: Florian-Horia Vasilescu
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 5998436
zbMATH Keywords: Lorentz space
zbMATH Keywords: Hardy weight operator
MaRDI profile type: Publication
cites work: Q4039801
cites work: Weighted weak type Hardy inequalities with applications to Hilbert transforms and maximal functions
cites work: Weighted Lorentz spaces and the Hardy operator
cites work: Q3894423
cites work: On the Principle of Duality in Lorentz Spaces
cites work: On the Compactness and Approximation Numbers of Hardy-Type Integral Operators in Lorentz Spaces
cites work: The Weighted Hardy Inequality: New Proofs and the Case p = 1
cites work: Inequalities for Riemann-Liouville operator involving suprema
cites work: A reduction theorem for supremum operators
description: scientific article; zbMATH DE number 5998436