On bounds for weighted norms for matrices and integral operators

Citation
J. Pecaric et al., On bounds for weighted norms for matrices and integral operators, LIN ALG APP, 326(1-3), 2001, pp. 121-135
Citations number
11
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
326
Issue
1-3
Year of publication
2001
Pages
121 - 135
Database
ISI
SICI code
0024-3795(20010315)326:1-3<121:OBFWNF>2.0.ZU;2-R
Abstract
In this note we consider inequalities of the form //Ax//omega .q less than or equal to lambda//Bx//v.p, where A and B are matrices or integral operato rs, x decreasing sequence or function and omega and v are weights. Obtained results are generalizations of results of G, Bennett [Linear Algebra Appl. 82 (1986) 81] and P.E. Renaud [Bull. Aust. Math. Soc. 34(1986) 225]. (C) 2 001 Elsevier Science Inc. All rights reserved.