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Artículo
John's ellipsoid and the integral ratio of a log-concave function
(Springer, 2018-04)
We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define the integral ratio of a log-concave function, which will extend the notion of volume ratio, and ...
Artículo
Dense linear manifolds of monsters
(Elsevier, 2002-12)
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic functions of a domain in the complex plane. The concept is more restrictive than that of ...
Artículo
Q-classical orthogonal polynomials: a very classical approach
(Kent State University, 1999)
The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. Working with this, we classify the q−classical polynomials in twelve families according to the zeros ...
Artículo
Undominated Sequences of Integrable Functions
(Springer Nature, 2020-10-20)
In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Speci cally, we study both topological and algebraic genericity ...
Artículo
Principal dynamical components
(Wiley, 2013)
A new procedure is proposed for the dimensional reduction of time series. Similarly to principal components, the procedure seeks a low-dimensional manifold that minimizes information loss. Unlike principal components, ...
Capítulo de Libro
On the sign of the real part of the Riemann zeta-function
(Springer, 2013)
We consider the distribution of argζ(σ +it) on fixed lines σ > 1/2, and in particular the density d(σ) = lim T→+∞ 1/2T |{t ∈ [−T,+T] : |argζ(σ +it)| > π/2}|, and the closely related density d−(σ) = lim T→+∞ 1/2T |{t ∈ ...
Artículo
Mixed weak type estimates: Examples and counterexamples related to a problem of E. Sawyer
(Uniwersytetu i Politechniki, 2016)
In this paper we study mixed weighted weak-type inequalities for families of functions, which can be applied to study classic operators in harmonic analysis. Our main theorem extends the key result from D. Cruz-Uribe, ...
Artículo
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
(Elsevier, 2004-03-01)
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets ...
Artículo
Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators
(American Mathematical Society, 2014-01-09)
Minimal regularity conditions on the kernels of bilinear operators are identi- fied and shown to be sufficient for the existence of end-point estimates within the context of the bilinear Calderón-Zygmund theory.
Artículo
Iterative methods for approximating fixed points of Bregman nonexpansive operators
(American Institute of Mathematical Sciences, 2013-08)
Diverse notions of nonexpansive type operators have been extended to the more general framework of Bregman distances in reflexive Banach spaces. We study these classes of operators, mainly with respect to the existence ...