Weighted weak-type inequalities for generalized Hardy operators

Weighted weak-type inequalities for generalized Hardy operators

<p/> <p>We characterize the pairs of weights <inline-formula><graphic file="1029-242X-2006-62426-i1.gif"/></inline-formula> for which the Hardy-Steklov-type operator <inline-formula><graphic file="1029-242X-2006-62426-i2.gif"/></inline...

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Bibliographic Details
Main Authors: Mart&#237;n-Reyes FJ, Ortega Salvador P, Bernardis AL
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2006/62426
Description
Summary:<p/> <p>We characterize the pairs of weights <inline-formula><graphic file="1029-242X-2006-62426-i1.gif"/></inline-formula> for which the Hardy-Steklov-type operator <inline-formula><graphic file="1029-242X-2006-62426-i2.gif"/></inline-formula> applies <inline-formula><graphic file="1029-242X-2006-62426-i3.gif"/></inline-formula> into weak- <inline-formula><graphic file="1029-242X-2006-62426-i4.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i5.gif"/></inline-formula>, assuming certain monotonicity conditions on <inline-formula><graphic file="1029-242X-2006-62426-i6.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i7.gif"/></inline-formula>, <inline-formula><graphic file="1029-242X-2006-62426-i8.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2006-62426-i9.gif"/></inline-formula>.</p>
ISSN:1025-5834
1029-242X

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