Lancaster EPrints

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

[img]
Preview
PDF (039_01_www.pdf)
Download (351Kb) | Preview

    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: 14 Oct 2013 12:55
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/2375

    Actions (login required)

    View Item