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Weighted weak-type inequalities for generalized Hardy operators

  • A. L. Bernardis1Email author,
  • F. J. Martín-Reyes2 and
  • P. Ortega Salvador2
Journal of Inequalities and Applications20062006:62426

Received: 13 June 2006

Accepted: 21 September 2006

Published: 16 November 2006


We characterize the pairs of weights for which the Hardy-Steklov-type operator applies into weak- , , assuming certain monotonicity conditions on , , and .


Monotonicity ConditionHardy OperatorGeneralize Hardy Operator


Authors’ Affiliations

IMAL-CONICET, Santa Fe, Argentina
Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, Málaga, Spain


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© A. L. Bernardis et al. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.