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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Bibliographic Details
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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Summary: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.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2015.1115810