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20062025
most citedNew Gaussian Riesz transforms on variable Lebesgue spaces

2 citations · 6 across the 9 of their papers we have counts for

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9 papers

math.AP2025

On Tent Spaces for the Gaussian Measure

Liliana Forzani, Roberto Scotto, Wilfredo Urbina

Following the scheme of tent spaces in classical harmonic analysis developed by R. Coifman, Y. Meyer, and E. Stein in \cite{cms}, we succeed in doing so for the Gaussian setting. I…

math.CA2024

Endpoint estimates for higher order Gaussian Riesz transforms

Fabio Berra, Estefanía Dalmasso, Roberto Scotto

We will show that, contrary to the behavior of the higher order Riesz transforms studied so far on the atomic Hardy space , associated with the Ornst…

math.CA2022

Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1

In this paper we give a criterion to prove boundedness results for several operators from to and also from to…

math.AP2022

Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1

In this paper we introduce the atomic Hardy space associated with the non-doubling probability measure …

math.CA2022★ 1 cited

Harmonic analysis operators associated with Laguerre polynomial expansions on variable Lebesgue spaces

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1

In this paper we give sufficient conditions on a measurable function in order that harmonic analysis operators (maximal operators, Riesz tran…

math.AP2021★ 2 cited

New Gaussian Riesz transforms on variable Lebesgue spaces

Estefanía Dalmasso, Roberto Scotto

We give sufficient conditions on the exponent for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue spaces $…

math.CA2018★ 1 cited

Bellman Functions and Dimension Free estimates for the Riesz Transforms in Bessel settings

Jorge J. Betancor, Estefanía Dalmasso, Juan C. Fariña +1

In this article we prove dimension free -boundedness of Riesz transforms associated with a Bessel diferential operator. We obtain explicit estimates of the -norms for the…

math.CA2014★ 2 cited

Variable exponent Sobolev spaces associated with Jacobi expansions

V. Almeida, J. J. Betancor, A. J. Castro +2

In this paper we define variable exponent Sobolev spaces associated with Jacobi expansions. We prove that our generalized Sobolev spaces can be characterized as variable exponent p…

math.CA2006

On the maximal function for the generalized Ornstein-Uhlenbeck semigroup

Jorge Betancor, Liliana Forzani, Roberto Scotto +1

In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in $\RR$ associated with the generalized Hermite polynomials and prove th…