Estimates for restrictions of monotone operators on the cone of decreasing functions in Orlicz space
type: Item
instance of: scholarly article
title: Estimates for restrictions of monotone operators on the cone of decreasing functions in Orlicz space
zbMATH Open document ID: 1450.47022
DOI: 10.1134/S0001434616070038
published in: Mathematical Notes
publication date: 2017-02-08T00:00:00Z
review text: In the work under review, the restriction of a monotone operator to the cone of nonnegative decreasing functions on a weighted Orlicz space is studied. A specially constructed discretization procedure is used to obtain a sharp two-sided estimate of the norm of such a restriction. Similar estimates are obtained for monotone operators over other Orlicz-Lorentz spaces, and applications are presented.
reviewed by: K. C. Sivakumar
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 6682137
zbMATH Keywords: monotone operator
zbMATH Keywords: weighted Orlicz space
zbMATH Keywords: cone of decreasing functions
zbMATH Keywords: associated norm
zbMATH Keywords: Orlicz-Lorentz class
zbMATH Keywords: discretization method
author: Mikhail L. Goldman
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6682137