B. Bongioanni

activity

20062020

most citedOn dyadic nonlocal Schrödinger equations with Besov initial data

9 citations · 13 across the 6 of their papers we have counts for

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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…

math.AP2015★ 3 cited

Nonlocal Schrödinger equations in metric measure spaces

Marcelo Actis, Hugo Aimar, Bruno Bongioanni +1

In this note we consider the pointwise convergence to the initial data for the solutions of some nonlocal dyadic Schrödinger equations on spaces of homogeneous type. We prove the a…

math.AP2012★ 9 cited

On dyadic nonlocal Schrödinger equations with Besov initial data

Hugo Aimar, Bruno Bongioanni, Ivana Gómez

In this paper we consider the pointwise convergence to the initial data for the Schrödinger-Dirac equation $i \frac{\partial u}{\partial t} = D^{β} u$ with $u (x, 0) = u^{0}$ in a dyadic Beso…

math.AP2011

Weighted inequalities for commutators of Schrödinger-Riesz transforms

B. Bongioanni, E. Harboure, O. Salinas

In this work we obtain weighted $L^{p}$ , $1 < p < \infty$ , and weak $L lo g L$ estimates for the commutator of the Riesz transforms associated to a Schrödinger operator $-\lap+V$, where $…