Pablo Quijano

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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.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…