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Autor Muñoz-Fernández, Gustavo A. |
Documentos disponibles escritos por este autor (38)
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Let parallel to . parallel to(infinity) denote the sup norm on [-1,1]. If x is an element of [-1,1] is fixed and M-m,M-n(x) is the best constant in vertical bar p'(x)vertical bar![]()
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Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. ; Weber, Andress | London Mathematical Society | 2012In this paper, we study the set of periods of (chaotic) strongly continuous semigroups. We prove a relationship between eigenvalues on the imaginary axis of the generator of a strongly continuous semigroup and the set of periods of the semigroup[...]![]()
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Araujo, G. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Heldermann Verlag | 2017A number of sharp inequalities are proved for the space P (2D (?/4)) of 2-homogeneous polynomials on ?2 endowed with the supremum norm on the sector D (?/4) := {ei? : ? ? [0, ?/4]}. Among the main results we can find sharp Bernstein and Markov i[...]![]()
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Azagra Rueda, Daniel ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. ; Sánchez de los Reyes, Víctor Manuel | Academic Press | 2009-06If f is continuous on the interval [a, b], g is Riemann integrable (resp. Lebesgue measurable) on the interval [alpha, beta] and g([alpha, beta]) subset of [a, b], then f o g is Riemann integrable (resp. measurable) on [alpha, beta]. A well-know[...]![]()
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Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Murillo Arcila, M. ; Seoane-Sepúlveda, Juan B. | Taylor & Francis | 2015In 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[...]![]()
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Gámez Merino, José Luis ; Muñoz-Fernández, Gustavo A. ; Sánchez, V.M. ; Seoane-Sepúlveda, Juan B. | American Mathematical Society | 2010-11We find large algebraic structures inside the following sets of pathological functions: (i) perfectly everywhere surjective functions, (ii) differentiable functions with almost nowhere continuous derivatives, (iii) differentiable nowhere monoton[...]![]()
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Muñoz-Fernández, Gustavo A. ; Pellegrino, D. ; Seoane-Sepúlveda, Juan B. ; Weber, A. | Heldermann Verlag | 2014We consider the Banach space of two homogeneous polynomials endowed with the supremum norm parallel to . parallel to(D(beta)) over circle sectors D(beta) of angle beta for several values of beta is an element of [0, 2 pi]. We provide an explicit[...]![]()
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Diniz, D. ; Muñoz-Fernández, Gustavo A. ; Pellegrino, Daniel ; Seoane-Sepúlveda, Juan B. | Elsevier | 2012The search of sharp estimates for the constants in the Bohnenblust-Hille inequality, besides its challenging nature, has quite important applications in different fields of mathematics and physics. For homogeneous polynomials, it was recently sh[...]![]()
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Muñoz-Fernández, Gustavo A. ; Sarantopoulos, Y ; Seoane-Sepúlveda, Juan B. | American Mathematical Society | 2010K. Ball has proved the "complex plank problem": if (x(k))(k=1)(n) is a sequence of norm I vectors in a complex Hilbert space (H, (., .)), then there exists a unit vector x for which | | > = 1/root n, k = 1,...,n. In general, this resul[...]![]()
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This expository paper is devoted to the review of some very recent results concerning the set of periods of a chaotic operator T or a chaotic semigroup {T (t): t a parts per thousand yen 0} acting on a complex Banach space. We obtain information[...]![]()
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Let H be a two-dimensional complex Hilbert space and P(H-3) the space of 3-homogeneous polynomials on H. We give a characterization of the extreme points of its unit ball, B-P(3H), from which we deduce that the unit sphere of P(H-3) is the disjo[...]![]()
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Grecu, B.C. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Academic Press- Elsevier Science | 2009-12If P is a polynomial on R of degree at most n, given by P(x) = Sigma(alpha is an element of Nm,vertical bar alpha vertical bar![]()
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Conejero, Jose A. ; Jiménez Rodríguez, P. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Mathematical Association of America | 2014-01The 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[...]