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Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces
(Hindawi, 1997)
The convergence in mean of a weighted sum ka.k(Xk EXk) of random elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. ...
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Ratchet effect on a relativistic particle driven by external forces
(Institute of Physics, 2011)
We study the ratchet effect of a damped relativistic particle driven by both asymmetric temporal bi-harmonic and time-periodic piecewise constant forces. This system can be formally solved for any external force, providing ...
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Average radial integrability spaces of analytic functions
(Academic Press Inc., 2022)
In this paper we introduce the family of spaces RM(p, q), 1 ≤ p, q ≤ +∞. They are spaces of holomorphic functions in the unit disc with average radial integrability. This family contains the classical Hardy spaces (when ...
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Uncertainty principle estimates for vector fields
(Elsevier, 2001-04-01)
We derive weighted norm estimates for integral operators of potential type and for their related maximal operators. These operators are generalizations of the classical fractional integrals and fractional maximal functions. ...
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Lower-Dimensional Nonlinear Brinkman’s Law for Non-Newtonian Flows in a Thin Porous Medium
(Springer, 2021-06-01)
In this paper, we study the stationary incompressible power law fluid flow in a thin porous medium. The media under consideration is a bounded perforated 3D domain confined between two parallel plates, where the distance ...
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I ∞ 0 (∑) no es totalmente tonelado
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1985)
Let ∑ be an infinite σ-field and denote by I ∞ 0 (∑) the space spanned by the characteristic functions of elements of ∑, endowed with the supremum norm. We prove that I ∞ 0 (∑) is not totally barrelled.
Artículo
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Small entire functions with extremely fast growth
(Elsevier, 1997-03-15)
We prove in this note that, given α ∈ (0, 1/2), there exists a linear manifold M of entire functions satisfying that M is dense in the space of all entire functions such that limz→∞ exp(|z|α)f(j)(z) = 0 on any plane strip ...
Artículo
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Ap weights for nondoubling measures in Rn and applications
(American Mathematical Society, 2002)
We study an analogue of the classical theory of Ap(µ) weights in Rn without assuming that the underlying measure µ is doubling. Then, we obtain weighted norm inequalities for the (centered) Hardy-Littlewood maximal function ...
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Compositional hypercyclicity equals supercyclicity
(University of Houston, 2007)
In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected domain strictly contained in the complex plane is hypercyclic –that is, possesses some dense orbit– ...
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Strongly omnipresent integral operators
(Springer, 2002-12)
An operator T on the space H(G) of holomorphic functions on a domain G is strongly omnipresent whenever there is a residual set of functions f ∈ H(G) such that T f exhibits an extremely “wild” behaviour near the boundary. ...