P. Quijano

activity

20182026

most citedHarmonic analysis operators associated with Laguerre polynomial expansions on variable Lebesgue spaces

1 citations · 1 across the 14 of their papers we have counts for

collaborators

15 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

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

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

Sawyer estimates of mixed type for operators associated to a critical radius function

Fabio Berra, Gladis Pradolini, Pablo Quijano

We prove mixed inequalities for the Hardy-Littlewood maximal function $M^{ρ, σ}$ , where $ρ$ is a critical radius function and $σ \geq 0$ . We also exhibit and prove an extension of Cr…

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.AP2022

Mixed inequalities for operators associated to critical radius functions with applications to Schrödinger type operators

Fabio Berra, Gladis Pradolini, Pablo Quijano

We obtain weighted mixed inequalities for operators associated to a critical radius function. We consider Schrödinger Calderón-Zygmund operators of $(s, δ)$ type, for $1<s\leq \inft…

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.CA2022

Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +2

In this paper we establish $L^{p} (R^{d}, γ_{\infty})$ -boundedness properties for square functions involving time and spatial derivatives of Ornstein-Uhlenbeck semigroups. Here $γ…

math.AP2020

Behaviour of Schrödinger Riesz transforms over smoothness spaces

Bruno Bongioanni, Eleonor Harboure, Pablo Quijano

As it was shown by Shen, the Riesz transforms associated to the Schrödinger operator $L = - Δ + V$ are not bounded on $L^{p} (R^{d})$ -spaces for all $p, 1 < p < \infty$ , under the only…

math.AP2018

Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger Transforms

Bruno Bongioanni, Eleonor Harboure, Pablo Quijano

In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator $T$ and some $p$ , $1 < p < \infty$ , we look for operators $M$ such tha…

Higher order logarithms of Bessel operators and an extension problem

On m-order logarithmic Schrödinger operator

Logarithmic Schrödinger operators

Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators

Gaussian JNp​ spaces

Sawyer estimates of mixed type for operators associated to a critical radius function

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

Mixed inequalities for operators associated to critical radius functions with applications to Schrödinger type operators

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

Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

Behaviour of Schrödinger Riesz transforms over smoothness spaces

Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger Transforms

On $m$ -order logarithmic Schrödinger operator

Gaussian $JN_{p}$ spaces