activity
20062022
most citedOn Cantor-like sets and Cantor-Lebesgue singular functions

17 citations · 30 across the 21 of their papers we have counts for

collaborators

23 papers

math.CA2022

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…

math.CA2022

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…

math.CA2022★ 1 cited

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…

math.HO2021

On the Cantor set and the Cantor-Lebesgue functions

Lihang Liu, Wilfredo O. Urbina

The ternary Cantor set , constructed by George Cantor in 1883, is the best known example of a perfect nowhere-dense set in the real line. The present article we study…

math.CA2020

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…

math.CA2019

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…