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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…
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…
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…
The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights
David Cruz-Uribe, Estefania Dalmasso, Francisco Martin-Reyes +1
We characterize the weights for the Stieltjes transform and the Calderón operator to be bounded on the weighted variable Lebesgue spaces , assuming that t…
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…
Local Hardy spaces with variable exponents associated to non-negative self-adjoint operators satisfying Gaussian estimates
Víctor Almeida, Jorge J. Betancor, Estefanía Dalmasso +1
In this paper we introduce variable exponent local Hardy spaces associated with a non-negative self-adjoint operator L. We define them by using an area square integral involving th…