author = "Muñoz-Fernández, Gustavo A."
1

Encontrado 9 documentos, página mostrada 1 de 1

A hierarchy in the family of real surjective functions

Description: This expository paper focuses on the study of extreme surjective functions in ℝℝ. We present several different types of extreme surjectivity by providing examples and crucial properties. These examples help us to establish a hierarchy within the different classes of surjectivity we deal with. The cl...
Language(s): Inglés

Smooth functions with uncountably many zeros

Description: In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et al. [7, 9]. , Conejero, JA.; Muñoz-Fernández, GA.; Murillo Arcila, M.; Seoane Sepúlveda...
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 analyticity hypothesis on...
Language(s): Inglés

Smooth functions with uncountably many zeros

Description: In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by Enflo et al. [7, 9].
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

Lineability in sequence and function spaces

Description: We prove the existence of large algebraic structures - including large vector subspaces or infinitely generated free algebras - inside, among others, the family of Lebesgue measurable functions that are surjective in a strong sense, the family of nonconstant differentiable real functions vanishing o...
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
1

Encontrado 9 documentos, página mostrada 1 de 1

Uso de cookies: Este sitio web utiliza cookies propias y de terceros para dar un mejor servicio. Si continúa navegando se considera que acepta su uso. OKMás información