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Weighted weak-type inequalities for generalized Hardy operators

Journal of Inequalities and Applications volume 2006, Article number: 62426 (2006) Cite this article

Abstract

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

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References

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Authors and Affiliations

  1. IMAL-CONICET, Güemes 3450, Santa Fe, 3000, Argentina

    A. L. Bernardis

  2. Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, Málaga, 29071, Spain

    F. J. Martín-Reyes & P. Ortega Salvador

Authors
  1. A. L. Bernardis
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  2. F. J. Martín-Reyes
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  3. P. Ortega Salvador
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Corresponding author

Correspondence to A. L. Bernardis.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Bernardis, A.L., Martín-Reyes, F.J. & Ortega Salvador, P. Weighted weak-type inequalities for generalized Hardy operators. J Inequal Appl 2006, 62426 (2006). https://doi.org/10.1155/JIA/2006/62426

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  • DOI: https://doi.org/10.1155/JIA/2006/62426

Keywords

  • Monotonicity Condition
  • Hardy Operator
  • Generalize Hardy Operator