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Some remarks on multilinear maps and interpolation

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by Loukas Grafakos , Nigel Kalton
Citations:35 - 17 self
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@MISC{Grafakos_someremarks,
    author = {Loukas Grafakos and Nigel Kalton},
    title = {Some remarks on multilinear maps and interpolation},
    year = {}
}

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Abstract

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. 1.

Keyphrases

multilinear map    multilinear marcinkiewicz interpolation theorem    several application    boyd interpolation theorem    bilinear fractional integral    multilinear version    quasi-normed rearrangement-invariant space   

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