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Higher integrability results

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Abstract

It is proved that if the function f verifies a reverse integral inequality, then the nonincreasing rearrangement of f verifies the same inequality.

As an application, a short proof of higher integrability results from reverse integral inequalities is given, by reduction to the one dimensional case.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di Napoli, Via Mezzocannone 8, I-80134, Napoli

    Michelangelo Franciosi & Gioconda Moscariello

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  1. Michelangelo Franciosi
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  2. Gioconda Moscariello
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Franciosi, M., Moscariello, G. Higher integrability results. Manuscripta Math 52, 151–170 (1985). https://doi.org/10.1007/BF01171490

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  • DOI: https://doi.org/10.1007/BF01171490

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