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Two-Weight Norm Inequalities for the Local Maximal Function

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Abstract

For a local maximal function defined on a certain family of cubes lying “well inside” of \(\Omega \), a proper open subset of \({\mathbb {R}}^n\), we characterize the couple of weights (u, v) for which it is bounded from \(L^p(v)\) on \(L^q(u)\).

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Acknowledgments

This research is partially supported by Grants from Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET) and Facultad de Ingeniería Química Universidad Nacional del Litoral (UNL), Argentina.

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Authors and Affiliations

  1. Instituto de Matemática Aplicada del Litoral, FIQ, UNL, CONICET, Predio Dr. Alberto Cassano del CCT-CONICET-Santa Fe Colectora de la Ruta Nacional No 168, Santa Fe, Argentina

    M. Ramseyer, O. Salinas & B. Viviani

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  1. M. Ramseyer
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  2. O. Salinas
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  3. B. Viviani
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Correspondence to O. Salinas.

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Ramseyer, M., Salinas, O. & Viviani, B. Two-Weight Norm Inequalities for the Local Maximal Function. J Geom Anal 27, 120–141 (2017). https://doi.org/10.1007/s12220-016-9676-0

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  • DOI: https://doi.org/10.1007/s12220-016-9676-0

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