17 citations · 30 across the 21 of their papers we have counts for
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An non-centered asymmetric Cantor-like Set
Lauren Wszolek, Wilfredo O. Urbina
The ternary Cantor set , constructed by George Cantor in 1883, is probably the best-known example of a perfect nowhere-dense set in the real line, but as we will see later, it i…
Boundedness of the Gaussian Riesz Potentials on Gaussian variable Lebesgue spaces
Eduard Navas, Ebner Pineda, Wilfredo O. Urbina
In this paper we prove the boundedness of the Gaussian Riesz potentials , for on , the Gaussian variable Lebesgue spaces under a certain additiona…
Boundedness of Gaussian Bessel Potentials and Bessel Fractional Derivatives on variable Gaussian Besov-Lipschitz spaces
Ebner Pineda, Luz Rodriguez, Wilfredo O. Urbina
In this paper we study the regularity properties of the Gaussian Bessel potentials and Gaussian Bessel fractional derivatives on variable Gaussian Besov-Lipschitz spaces $B_{p(\cdo…
The Boundedness of General Alternative Gaussian Singular Integrals on variable Lebesgue spaces with Gaussian measure
Eduard Navas, Ebner Pineda, Wilfredo Urbina
In a previous paper, we introduced a new class of Gaussian singular integrals, that we called the general alternative Gaussian singular integrals and study the boundedness of them…
The Boundedness of Alternative General Gaussian Singular Integrals with respect to the Gaussian measure
Eduard Nava, Ebner Pineda, Wilfredo Urbina
In this paper we introduce a new class of Gaussian singular integrals, the general alternative Gaussian singular integrals and study the boundedness of them in Lp, p >1 and its wea…
The Boundedness of the Ornstein-Uhlenbeck semigroup on variable Lebesgue spaces with respect to the Gaussian measure
Jorge Moreno, Ebner Pineda, Wilfredo Urbina
The main result of this work is the proof of the boundedness of the Ornstein-Uhlenbeck semigroup in on Gaussian variable Lebesgue spaces un…