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Now showing items 1-10 of 31
Article
Diversities, hyperconvexity and fixed points
(Elsevier, 2014-01)
Diversities have been recently introduced as a generalization of metrics for which a rich tight span theory could be stated. In this work we take up a number of questions about hyperconvexity, diversities and fixed points ...
Article
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.
Article
The endpoint Fefferman-Stein inequality for the strong maximal function
(Elsevier, 2014-01-01)
Let Mnf denote the strong maximal function of f on Rn, that is the maximal average of f with respect to n-dimensional rectangles with sides parallel to the coordinate axes. For any dimension n > 2 we prove the natural ...
Article
A spectral radius type formula for approximation numbers of composition operators
(Elsevier, 2014-12-15)
For approximation numbers an(Cφ) of composition operators Cφ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol φ of uniform norm <1, we prove that limn→∞[an(Cφ)]1/n=e−1 ...
Chapter of Book
Refined size estimates for Furstenberg sets via Hausdorff measures: a survey of some recent results
(Springer, 2014)
In this survey we collect and discuss some recent results on the so called “Furstenberg set problem”, which in its classical form concerns the estimates of the Hausdorff dimension (dimH) of the sets in the Fα-class: for ...
Article
On the exact location of the non-trivial zeros of Riemann’s zeta function
(Polish Academy of Sciences, Institute of Mathematics, 2014)
In this paper we introduce the real valued real analytic function κ(t) implicitly defined by e 2πiκ(t) = −e −2iϑ(t) ζ 0 ( 1 2 − it) ζ 0( 1 2 + it) , (κ(0) = − 1 2 ). By studying the equation κ(t) = n ...
Article
On the limit of non-standard q-Racah polynomials
(2014-03-15)
The aim of this article is to study the limit transitions from non-standard q-Racah polynomials to big q-Jacobi, dual q-Hahn, and q-Hahn polynomials such that the orthogonality properties and the three-term recurrence ...
Article
Matemáticas: una ¿triste? historia de amor
(2014-12-25)
Recientemente me encontré en Twitter el vídeo Math tell us three of the saddest love stories del blog Lemongum sobre cómo las matemáticas nos cuentan las historias de amor más tristes. En el presente artículo vamos a ...
Article
Applications of convex analysis within mathematics
(Springer, 2014-12)
In this paper, we study convex analysis and its theoretical applications. We apply important tools of convex analysis to Optimization and to Analysis. Then we show various deep applications of convex analysis and especially ...
Article
Kink topology control by high-frequency external forces in nonlinear Klein-Gordon models
(American Physical Society, 2014)
A method of averaging is applied to study the dynamics of a kink in the damped double sine-Gordon equation driven by both external (nonparametric) and parametric periodic forces at high frequencies. This theoretical approach ...