Sharp values for the constants in the polynomial Bohnenblust-Hille inequality

In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in is exactly . We also give the exact value of the real polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in . Finally, we provide lower estimates for the real polynomial Bo...

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Published in:Linear & multilinear algebra 2016-09, Vol.64 (9), p.1731-1749
Main Authors: Jiménez-Rodríguez, P., Muñoz-Fernández, G.A., Murillo-Arcila, M., Seoane-Sepúlveda, J.B.
Format: Article
Language:English
Subjects:
Absolutely summing operators
Algebra
Bohnenblust-Hille constants
Constants
Estimates
Inequalities
Information theory
Polynomials
Quantum Information Theory
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cited_by cdi_FETCH-LOGICAL-c418t-dcfccc7558ee069a5beadddf70a6d79f057a05a08c05d91ee3192eb5f682a45a3
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creator Jiménez-Rodríguez, P.
Muñoz-Fernández, G.A.
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description In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in is exactly . We also give the exact value of the real polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in . Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials in of higher degrees.
doi_str_mv 10.1080/03081087.2015.1115810
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subjects Absolutely summing operators
Algebra
Bohnenblust-Hille constants
Constants
Estimates
Inequalities
Information theory
Polynomials
Quantum Information Theory
title Sharp values for the constants in the polynomial Bohnenblust-Hille inequality
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