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Some remarks on multilinear maps and interpolation

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Abstract.

A multilinear version of the Boyd interpolation theorem is proved in the context of quasi-normed rearrangement-invariant spaces. A multilinear Marcinkiewicz interpolation theorem is obtained as a corollary. Several applications are given, including estimates for bilinear fractional integrals.

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Authors and Affiliations

  1. Department of Mathematics, University of Missouri, Columbia, MO 65211, USA (e-mail: {loukas,nigel}@math.missouri.edu) , , , , , , US

    Loukas Grafakos & Nigel Kalton

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  1. Loukas Grafakos
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  2. Nigel Kalton
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Received January 31, 1999 / Accepted February 27, 2000 / Published online December 8, 2000

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Grafakos, L., Kalton, N. Some remarks on multilinear maps and interpolation. Math Ann 319, 151–180 (2001). https://doi.org/10.1007/PL00004426

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  • DOI: https://doi.org/10.1007/PL00004426

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