author = "Jiménez Rodríguez, P."
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Encontrado 5 documentos, página mostrada 1 de 1

Polynomial Inequalities on the π/4-Circle Sector

Description: A number of sharp inequalities are proved for the space P (2D (π/4)) of 2-homogeneous polynomials on ℝ2 endowed with the supremum norm on the sector D (π/4) := {eiθ : θ ∈ [0, π/4]}. Among the main results we can find sharp Bernstein and Markov inequalities and the calculation of the polarization con...
Language(s): Inglés

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

Description: In this paper we prove that the complex polynomial Bohnenblust-Hille constant for 2-homogeneous polynomials in C2 is exactly 4q 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 p...
Language(s): Inglés

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

Description: 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 pol...
Language(s): Inglés

On the real polynomial Bohnenblust-Hille inequality

Description: Abstract. It was recently proved by Bayart et al. that the complex polynomial Bohnenblust–Hille inequality is subexponential. We show that, for real scalars, this does no longer hold. Moreover, we show that, if DR,m stands for the real Bohnenblust–Hille constant for m-homogeneous polynomials, then l...
Language(s): Inglés
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Encontrado 5 documentos, página mostrada 1 de 1

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