P. Quijano

activity

20182026

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

1 citations · 1 across the 6 of their papers we have counts for

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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.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