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Commutators of fractional integral operators on Vanishing-Morrey spaces

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Abstract

In this note we prove a sufficient condition for commutators of fractional integral operators to belong to Vanishing Morrey spaces VL p,λ. In doing this we use an extension on Morrey spaces of an inequality by Fefferman and Stein concerning the sharp maximal function and the fractional maximal function and related Morrey inequalities.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Catania, Viale Andrea Doria 6, 95125, Catania, Italy

    Maria Alessandra Ragusa

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  1. Maria Alessandra Ragusa
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Correspondence to Maria Alessandra Ragusa.

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Ragusa, M.A. Commutators of fractional integral operators on Vanishing-Morrey spaces. J Glob Optim 40, 361–368 (2008). https://doi.org/10.1007/s10898-007-9176-7

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  • DOI: https://doi.org/10.1007/s10898-007-9176-7

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