author = "Jiménez Rodríguez, P."

Encontrado 14 documentos, página mostrada 1 de 2

Convolution functions that are nowhere differentiable

Description: In 1951 V. Jarnik constructed two continuous functions whose Volterra convolution is nowhere differentiable. We generalize Jarnik's results by proving that the set of such functions is maximal lineable. This would shed some light on a question posed in 1973 on the structure of the set of continuous ...
Language(s): Inglés

Injective mappings in R-R and lineability

Description: It is known that there is not a two dimensional linear space in R-R every non-zero element of which is an injective function. Here, we generalize this result to arbitrarily large dimensions. We also study the convolution of non differentiable functions which gives, as a result, a differentiable func...
Language(s): Undetermined

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

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

Equivalent norms in polynomial spaces and applications.

Description: In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy Littlewood constants for 2-homogeneous polynomials on l(p)(2) spaces, 2 < p <= infinity. We also provide lower estimates for the Hardy-Littlewood constant...
Language(s): Inglés

When the identity theorem "seems" to fail

Description: The Identity Theorem states that an analytic function (real or complex) on a connected domain is uniquely determined by its values on a sequence of distinct points that converge to a point of its domain. This result is not true in general in the real setting, if we relax the analytic hypothesis on t...
Language(s): Inglés

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

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

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

Encontrado 14 documentos, página mostrada 1 de 2

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