Schur's lemma and best constants in weighted norm inequalities

Strong forms of Schur's Lemma and its converse are proved for maps taking non-negative functions to non-negative functions and having formal adjoints. These results are applied to give best constants in a large class of weighted Lebesgue norm inequalities for non-negative integral operators. Si...

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Bibliographic Details
Main Author: Gord Sinnamon
Format: Article
Language:English
Published: Università degli Studi di Catania 2002-11-01
Series:Le Matematiche
Subjects:
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/207