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Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
(ScienceDirect, 2020-12-02)
This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the ...
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Sharp weighted estimates for approximating dyadic operators
(American Mathematical Society, 2010)
We give a new proof of the sharp weighted L2 inequality ||T||_{L^2(w)} \leq c [w]_{A_2} where T is the Hilbert transform, a Riesz transform, the Beurling-Ahlfors operator or any operator that can be approximated by Haar ...
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Weighted norm inequalities for general maximal operators
(Universitat Autònoma de Barcelona, 1991)
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Optimal exponents in weighted estimates without examples
(International Press, 2015)
t. We present a general approach for proving the optimality of the exponents on weighted estimates. We show that if an operator T satisfies a bound like kT kLp(w) ≤ c [w] β Ap w ∈ Ap, then the optimal lower bound ...
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On the q-polynomials: a distributional study
(Elsevier, 2001-10-15)
In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term ...
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La categoría-base de los abiertos regulares de un espacio topológico
(Universitat de Barcelona, 1986)
In this paper we study, for a given topological space the category base of the regular open sets. We apply the results to the study the Lebesgue's density topology in R.
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Linear Kierst-Szpilrajn theorems
(Polish Academy of Sciences, Institute of Mathematics, 2005)
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There ...
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Recurrence relations for discrete hypergeometric functions
(Taylor & Francis, 2005)
We present a general procedure for finding linear recurrence relations for the solutions of the second order difference equation of hypergeometric type. Applications to wave functions of certain discrete system are also given.
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Invariant subspaces of parabolic self-maps in the Hardy space
(International Press, 2010-01)
It is shown that the lattice of invariant subspaces of the operator of multiplication by a cyclic element of a Banach algebra consists of the closed ideals of this algebra. As an application, with the help of some elements ...
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Large linear manifolds of non-continuable boundary-regular holomorphic functions
(Elsevier, 2008-05-01)
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular ...