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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…
math.CA2019★ 1 cited
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…
math.CA2019
Discrete-Continuous Jacobi-Sobolev Spaces and Fourier Series
Abel Díaz-González, Francisco Marcellán-Español, Héctor Pijeira-Cabrera +1
Let , $\ell\in \NN$, and $\varpi=(ω_0,ω_1, \dots, ω_{\ell-1})\in \RR^{\ell}$. Given a suitable function , we define the discrete-continuous Jacobi-Sobolev norm…