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Interface evolution: water waves in 2-D
(Elsevier, 2010-01-15)
We study the free boundary evolution between two irrotational, incompressible and inviscid fluids in 2-D without surface tension. We prove local-existence in Sobolev spaces when, initially, the difference of the gradients ...
Artículo
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Interpolation by tamed entire functions
(Bulgarian Academy of Sciences, 2006)
In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those ...
Artículo
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Strongly compact algebras
(Real Academia de Ciencias Exactas, Fisicas y Naturales, 2006)
An algebra of bounded linear operators on a Hilbert space is said to be strongly compact if its unit ball is relatively compact in the strong operator topology. A bounded linear operator on a Hilbert space is said to be ...
Artículo
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Geodesic Ptolemy spaces and fixed points
(Elsevier, 2011-01-01)
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic Ptolemy spaces with a uniformly continuous midpoint map are reflexive and that in such a setting ...
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Nevanlinna counting function and Carleson function of analytic maps
(Springer, 2011-10)
We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.
Artículo
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Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
Artículo
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A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
(London Mathematical Society, 2007-06)
An analogue of the Paley–Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the ...
Artículo
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Incompressible flow in porous media with fractional diffusion
(IOP Publishing, 2009-08)
In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy’s law. We show formation of singularities with infinite energy and for finite ...
Artículo
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On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R1
(Sociedad Matemática Mexicana / Springer, 2002-10)
We study a polynomial sequence of q-extensions of the classical Hermite polynomials Hn(x), which satisfi es continuous orthogonality on the whole real line R with respect to the positive weight function. This sequence can ...
Artículo
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Breakdown of smoothness for the Muskat problem
(Springer, 2013-06)
In this paper we show that there exist analytic initial data in the stable regime for the Muskat problem such that the solution turns to the unstable regime and later breaks down, i.e., no longer belongs to C4.