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:
Journal 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
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
?? applied mathematicsgeneral mathematicsmathematics(all)qa mathematics ??
ID Code:
2375
Deposited By:
Deposited On:
01 Apr 2008 08:55
Refereed?:
Yes
Published?:
Published
Last Modified:
09 Dec 2024 00:15