E. Harboure

activity

20082020

most cited

L^{p}

-boundeness properties of variation operators in the Schrodinger setting

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

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.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 $…

math.CA2010

Variation operators on $B M O$ in the Schrödinger setting

J. J. Betancor, J. C. Fariña, E. Harboure +1

In this paper we prove that the variation operators associated with the heat semigroup and Riesz transforms related to the Schrödinger operator are bounded on the suitable $B M O$ ty…

math.CA2010★ 2 cited

$L^{p}$ -boundeness properties of variation operators in the Schrodinger setting

J. J. Betancor, J. C. Fariña, E. Harboure +1

In this paper we establish the $L^{p}$ -boundedness properties of the variation operators associated with the heat semigroup, Riesz transforms and commutator between Riesz transforms…

math.CA2008★ 1 cited

Mapping properties of fundamental operators in harmonic analysis related to Bessel operators

Jorge J. Betancor, Eleonor Harboure, Adam Nowak +1

We prove sharp power-weighted strong type, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Pal…