Estefanía Dalmasso

activity

20172026

most citedThe effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces

5 citations · 9 across the 17 of their papers we have counts for

collaborators

18 papers

math.AP2026

Higher order logarithms of Bessel operators and an extension problem

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

We consider the Bessel operator defined by \[ B_λ=-\frac{d^2}{dx^2}+\frac{λ^2-1/4}{x^2}, \] on $(0, \infty)$ , with $λ > - 1$ . We study the fractional power $B_{λ}^{s}$ , $s \in (- 1, 1)$ , $s\n…

math.AP2026

A $T 1$ criterion for Schrödinger-Calderón-Zygmund operators with exponential decay

Estefanía Dalmasso, Gabriela R. Lezama, Marisa Toschi

We establish the boundedness of exponential Schrödinger-Calderón-Zygmund operators on weighted $B M O_{ρ}^{α} (w)$ spaces via a $T 1$ criterion, where the weights belong to classes that ca…

math.AP2026

On $m$ -order logarithmic Schrödinger operator

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

In this paper we study the logarithm of order $m$ of the Schrödinger operator $L_{V}$ in $R^{d}$ , for certain nonnegative potentials $V$ . First, the operator $\log^m\m…

math.AP2026

Logarithmic Schrödinger operators

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

In this paper we consider the Schrödinger operator $L_{V} = - Δ + V$ in $R^{d}$ with a non negative potential $V$ , and $V \neq \equiv 0$ . We define the logarithmic Schrödin…

math.AP2025

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano

In this paper we consider fractional Kolmogorov operators defined, in $R^{d}$ , by \[Λ_κ=(-Δ)^{α/2}+\fracκ{|x|^α} x\cdot \nabla,\] with $α \in (1, 2)$ , $α < (d + 2) /2$ and $κ\in \m…

math.AP2024

Weighted estimates for Schrödinger-Calderón-Zygmund operators with exponential decay

Estefanía Dalmasso, Gabriela R. Lezama, Marisa Toschi

In this work we obtain weighted boundedness results for singular integral operators with kernels exhibiting exponential decay. We also show that the classes of weights are characte…

math.AP2024

Gaussian $JN_{p}$ spaces

Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano

In this paper we introduce the John-Nirenberg's type spaces $JN_{p}$ associated with the Gaussian measure $d γ (x) = π^{- d /2} e^{- ∣ x ∣^{2}} d x$ in $R^{d}$ where $1 < p < \infty$ .…

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 $H^{1} (R^{n}, γ)$ , associated with the Ornst…

math.AP2023

Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space

Jorge J. Betancor, Estefanía D. Dalmasso, Pablo Quijano

We represent by ${W_{λ, t}^{α}}_{t > 0}$ the semigroup generated by $- L_{λ}^{α}$ , where $L_{λ}^{α}$ is a Hardy operator on a half space. The operator $L_{λ}^{α}$ includes…

math.AP2023

BLO spaces associated with Laguerre polynomials expansions

J. J. Betancor, E. Dalmasso, P. Quijano

In this paper we introduce spaces of $BLO$ -type related to Laguerre polynomial expansions. We consider the probability measure on $(0, \infty)$ defined by $dγ_α(x)=\frac{2}…

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 $H^{1} ((0, \infty), γ_{α})$ to $L^{1} ((0, \infty), γ_{α})$ and also from $L^{\infty} ((0, \infty), γ_{α})$ 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 $H^{1} ((0, \infty), γ_{α})$ associated with the non-doubling probability measure $d γ_{α} (x) = \frac{2 x ^{2 α + 1}}{Γ ( α + 1 )} e^{- x^{2}} d x$ …

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 $p : (0, \infty)^{n} \to [1, \infty)$ 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 $p : R^{d} \to [1, \infty)$ for the boundedness of the non-centered Gaussian maximal function on variable Lebesgue spaces $…

math.CA2019

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 $L_{w}^{p (\cdot)} (0, \infty)$ , assuming that t…

math.CA2018★ 1 cited

Bellman Functions and Dimension Free $L^{p}$ estimates for the Riesz Transforms in Bessel settings

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

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

math.CA2017

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…

math.AP2017★ 5 cited

The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces

Estefanía Dalmasso, Gladis Pradolini, Wilfredo Ramos

We prove boundedness results for integral operators of fractional type and their higher order commutators between weighted spaces, including $L^{p}$ - $L^{q}$ , $L^{p}$ - $B M O$ and $L^{p}$ -Lips…

Higher order logarithms of Bessel operators and an extension problem

A T1 criterion for Schrödinger-Calderón-Zygmund operators with exponential decay

On m-order logarithmic Schrödinger operator

Logarithmic Schrödinger operators

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

Weighted estimates for Schrödinger-Calderón-Zygmund operators with exponential decay

Gaussian JNp​ spaces

Endpoint estimates for higher order Gaussian Riesz transforms

Variation operators associated with semigroups generated by Hardy operators involving fractional Laplacians in a half space

BLO spaces associated with Laguerre polynomials expansions

Endpoint estimates for harmonic analysis operators associated with Laguerre polynomial expansions

Maximal function characterization of Hardy spaces related to Laguerre polynomial expansions

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

New Gaussian Riesz transforms on variable Lebesgue spaces

The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights

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

Local Hardy spaces with variable exponents associated to non-negative self-adjoint operators satisfying Gaussian estimates

The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces

A $T 1$ criterion for Schrödinger-Calderón-Zygmund operators with exponential decay

On $m$ -order logarithmic Schrödinger operator

Gaussian $JN_{p}$ spaces

Bellman Functions and Dimension Free $L^{p}$ estimates for the Riesz Transforms in Bessel settings