Pablo Quijano

collaborators

5 papers

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.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

Maximal operator, Littlewood-Paley functions and variation operators associated with nonsymmetric Ornstein-Uhlenbeck operators

Víctor Almeida, Jorge J. Betancor, Pablo Quijano +1

In this paper we establish $L^{p}$ boundedness properties for maximal operators, Littlewood-Paley functions and variation operators involving Poisson semigroups and resolvent operato…