Norms of certain operators on weighted L-spaces and Lorentz sequence spaces.

Jameson, Graham J. O. and Lashkaripour, R. (2002) Norms of certain operators on weighted L-spaces and Lorentz sequence spaces. Journal of Inequalities in Pure and Applied Mathematics, 3 (1). pp. 1-17. ISSN 1443-5756

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Abstract

The problem addressed is the exact determination of the norms of the classical Hilbert, Copson and averaging operators on weighted spaces and the corresponding Lorentz sequence spaces , with the power weighting sequence or the variant defined by . Exact values are found in each case except for the averaging operator with , for which estimates deriving from various different methods are obtained and compared.

Item Type:	Article
Journal or Publication Title:	Journal of Inequalities in Pure and Applied Mathematics
Additional Information:	Copyright Journal of Inequalities in Pure and Applied Mathematics (JIPAM) RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics
Subjects:	Q Science > QA Mathematics
Departments:	Faculty of Science and Technology > Mathematics and Statistics
ID Code:	2375
Deposited By:	ep_importer
Deposited On:	01 Apr 2008 09:55
Refereed?:	Yes
Published?:	Published
Last Modified:	26 Jul 2012 16:12
Identification Number:
URI:	http://eprints.lancs.ac.uk/id/eprint/2375

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