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On the Bohnenblust–Hille Inequality for Multilinear Forms

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Abstract

The general versions of the Bohnenblust–Hille inequality for m-linear forms are valid for exponents \(q_{1},\ldots ,q_{m}\in [1,2]\). In this paper we show that a slightly different characterization is valid with no restrictions for the range of the parameters, i.e., for \( q_{1},\ldots ,q_{m}\in (0,\infty )\).

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Correspondence to J. Santos.

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J. Santos was supported by CNPq, Grant 303122/2015-3.

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Santos, J., Velanga, T. On the Bohnenblust–Hille Inequality for Multilinear Forms. Results Math 72, 239–244 (2017). https://doi.org/10.1007/s00025-016-0628-6

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  • DOI: https://doi.org/10.1007/s00025-016-0628-6

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