J. Betancor

activity

20052026

most citedCalderón-Zygmund operators in the Bessel setting

36 citations · 136 across the 59 of their papers we have counts for

collaborators

Showing 2022Show all

6 papers · 1 filter

math.CA2022

Variation and oscillation operators on weighted Morrey-Campanato spaces in the Schrödinger setting

Víctor Almeida, Jorge Betancor, Juan C. Fariña +1

Let $L$ be the Schrödinger operator with potential $V$ , that is, $L = - Δ + V$ , where it is assumed that $V$ satisfies a reverse Hölder inequality. We consider weight…

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.AP2022

Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted $L^{p}$ maximal inequalities

I. Alvarez-Romero, B. Barrios, J. J. Betancor

In this paper we consider the heat semigroup ${W_{t}}_{t > 0}$ defined by the combinatorial Laplacian and two subordinated families of ${W_{t}}_{t > 0}$ on homogeneous trees $X$ . We ch…

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…

Variation and oscillation operators on weighted Morrey-Campanato spaces in the Schrödinger setting

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

Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted Lp maximal inequalities

Littlewood-Paley functions associated with general Ornstein-Uhlenbeck semigroups

Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted $L^{p}$ maximal inequalities