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Artículo
Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model
(Elsevier, 2012-09-01)
The aim of this paper is to study differential and spectral properties of the infinitesimal operator of two dimensional Markov processes with diffusion and discrete components. The infinitesimal operator is now a second-order ...
Artículo
Sharp bounds for general commutators on weighted Lebesgue spaces
(American Mathematical Society, 2012)
We show that if a linear operator T is bounded on weighted Lebesgue space L2(w) and obeys a linear bound with respect to the A2 constant of the weight, then its commutator [b, T ] with a function b in BMO will obey a ...
Artículo
On approximation numbers of composition operators
(Elsevier, 2012-04)
We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces Bα of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at ...
Artículo
On the Kneser property for reaction-diffusion equations in some unbounded domains with an H^{-1}-valued non-autonomous forcing term
(Elsevier, 2012)
In this paper we prove the Kneser property for a reaction-diffusion equation on an unbounded domain satisfying the Poincaré inequality with an external force taking values in the space H^{−1}. Using this property of solutions ...