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Resonances and spectral shift function near the Landau levels
(ANNALES DE L INSTITUT FOURIER, 2007)
We consider the 3D Schrodinger operator H = H-0 + V where H-0 = (-i del - A)(2) - b, A is a magnetic potential generating a constant magneticfield of strength b > 0, and V is a short-range electric potential which decays ...
Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
(Element, 2020-03)
In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for ...
Espaçamento de autovalores e limites superiores para a dinâmica associada a operadores de Schrödinger discretos unidimensionais
(Universidade Federal de Minas GeraisUFMG, 2018-03-09)
The goal of this work is to present dynamic upper bounds for boundeddiscrete one-dimensional Schrödinger operators in terms of agglomeration properties of the eigenvalues of finite volume approximations. We discuss an ...
Weighted Inequalities for Schrödinger Type Singular Integrals
(Birkhauser Boston Inc, 2019-06-10)
Related to the Schrödinger operator L= - Δ + V, the behaviour on Lp of several first and second order Riesz transforms was studied by Shen (Ann Inst Fourier (Grenoble) 45(2):513–546, 1995). Under his assumptions on V, a ...
Argumentos de Gordon no estudo espectral de operadores de Schrödinger unidimensionais
(Universidade Estadual Paulista (UNESP), 2014)
Schrödinger type singular integrals: weighted estimates for p=1
(Wiley VCH Verlag, 2016-08)
A critical radius function ρ assigns to each x ∈ Rd a positive number in a way that its variation at different points is somehow controlled by a power of the distance between them. This kind of function appears naturally ...
Espectro dos operadores de Schrödinger e transformações de intercâmbio de intervalos
(Universidade Estadual Paulista (Unesp), 2012-03-22)
Neste trabalho estudaremos propriedades espectrais de uma classe de operadores de Schrödinger com potencial associado a dinâmica de transfor mações de intercâmbio de inter valos, e mostraremos o resultado de Cobo-Gutierres-de ...