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

Research output: Contribution to journalJournal article

Published

Journal publication date1/03/2002
JournalJournal of Inequalities in Pure and Applied Mathematics
Journal number1
Volume3
Number of pages17
Pages1-17
Original languageEnglish

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.

Bibliographic note

Copyright Journal of Inequalities in Pure and Applied Mathematics (JIPAM) RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics