On the norm of a certain self-adjoint integral operator and applications to bilinear integral inequalities
type: Item
instance of: scholarly article
title: On the norm of a certain self-adjoint integral operator and applications to bilinear integral inequalities
zbMATH Open document ID: 1156.47001
author: Bicheng Yang
published in: Taiwanese Journal of Mathematics
publication date: 2008-07-29T00:00:00Z
review text: The author obtains the norm of a bounded selfadjoint integral operator \(T\) on \(L^2(0,\infty)\) and uses it to get a bilinear integral inequality with a best constant factor. The reader is referred to [\textit{B.--C.\thinspace Yang}, Acta Math.\ Sin., Engl.\ Ser.\ 23, No.\,7, 1311--1316 (2007; Zbl 1129.47011); Bull.\ Belg.\ Math.\ Soc.\ -- Simon Stevin 13, No.\,4, 577--584 (2006; Zbl 1128.47010)].
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 47A07
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47G10
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 5304988
zbMATH Keywords: norm
zbMATH Keywords: selfadjoint operator
zbMATH Keywords: bilinear integral inequality
zbMATH Keywords: beta function
zbMATH Keywords: Hilbert-type inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500574156
OpenAlex ID: W4243965246
DOI: 10.11650/TWJM/1500574156
Recommended article: On the norm of a self-adjoint operator and a new bilinear integral inequality
Recommended article: On the norm of a self-adjoint operator and applications to the Hilbert's type inequalities
Recommended article: On the norm of an integral operator and applications
Recommended article: Inequalities for norms of some integral operators
Recommended article: Inequalities for Functions of Selfadjoint Operators on Hilbert Spaces
Recommended article: On the boundedness and the norm of a class of integral operators
Recommended article: Norm inequalities for some singular integral operators
Recommended article: Hilbert-Type Integral Operators: Norms and Inequalities
Recommended article: Some inequalities for continuous functions of selfadjoint operators in Hilbert spaces
Recommended article: Q4718124
description: scientific article; zbMATH DE number 5304988