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Boundedness of the Maximal Function of the Ornstein-Uhlenbeck semigroup on variable Lebesgue spaces with respect to the Gaussian measure and consequences
ArticleAbstract: The main result of this paper is the proof of the boundedness of the Maximal Function T∗ of the OrnsPalabras claves:Gaussian harmonic analysis, Ornstein-Uhlenbeck semigroup, Variable Lebesgue spacesAutores:Ebner Pineda, Moreno J., Urbina W.O.Fuentes:googlescopusControllability of Laguerre and Jacobi equations
ArticleAbstract: In this paper we study the controllability of the controlled Laguerre equation and the controlled JaPalabras claves:Autores:Barcenas D., Hugo Leiva, Quintana Y., Urbina W.O.Fuentes:googlescopusNon tangential convergence for the Ornstein-Uhlenbeck semigroup
ArticleAbstract: In this paper we are going to get the non tangential convergence, in an appropriated parabolic "gausPalabras claves:Hermite expansions, Non tangential convergence, Ornstein-Uhlenbeck semigroup, Poisson-Hermite semigroupAutores:Ebner Pineda, Urbina W.O.Fuentes:googlescopusHardy-Littlewood maximal operator on variable Lebesgue spaces with respect to a probability measure
ReviewAbstract: In this paper we are going to prove that the Hardy-Litllewood maximal operators on variable LebesguePalabras claves:Hardy-Littlewood maximal functions, harmonic analysis, Radon measure, Variable Lebesgue spacesAutores:Ebner Pineda, Luz Rodríguez, Moreno J., Urbina W.O.Fuentes:googlescopusRiesz potentials, Bessel potentials and fractional derivatives on Triebel-Lizorkin spaces for the Gaussian measure
ArticleAbstract: In [3] the boundedness properties of Riesz potentials, Bessel potentials and fractional derivativesPalabras claves:Fractional differentiation, Fractional integration, Gaussian measure, Hermite expansions, Triebel-Lizorkin spacesAutores:Ebner Pineda, Gatto A.E., Urbina W.O.Fuentes:googlescopusSome results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces
ArticleAbstract: In this paper we define Besov-Lipschitz and Triebel-Lizorkin spaces in the context of Gaussian harmoPalabras claves:Besov-Lipschitz spaces, Bessel potentials, fractional derivatives, Fractional integrals, Hermite expansions, Triebel-Lizorkin spacesAutores:Ebner Pineda, Urbina W.O.Fuentes:googlescopus