Schur's lemma and best constants in weighted norm inequalities

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:
Hardy inequality
Weight
Averaging operaror
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/207

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