Sharp values for the constants in the polynomial Bohnenblust-Hille inequality
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Títol
Sharp values for the constants in the polynomial Bohnenblust-Hille inequalityAutoria
Data de publicació
2016Editor
Taylor & FrancisISSN
0308-1087; 1563-5139Cita bibliogràfica
JIMÉNEZ-RODRÍGUEZ, P., et al. Sharp values for the constants in the polynomial Bohnenblust-Hille inequality. Linear and Multilinear Algebra, 2015, vol. 64, no 9, p. 1731-1749.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.tandfonline.com/doi/full/10.1080/03081087.2015.1115810Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
In this paper we prove that the complex polynomial Bohnenblust–Hille constant for 2-homogeneous polynomials in ℂ2 is exactly 4√3/2. We also give the exact value of the real polynomial Bohnenblust–Hille constant for ... [+]
In this paper we prove that the complex polynomial Bohnenblust–Hille constant for 2-homogeneous polynomials in ℂ2 is exactly 4√3/2. We also give the exact value of the real polynomial Bohnenblust–Hille constant for 2-homogeneous polynomials in ℝ2. Finally, we provide lower estimates for the real polynomial Bohnenblust–Hille constant for polynomials in ℝ2 of higher degrees. [-]
Publicat a
Linear and Multilinear Algebra, 2015, vol. 64, no 9Drets d'accés
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