Regularity estimates in Hölder spaces for Schrödinger operators via a T1 theorem

2011/09/28 by Tao Ma, Ma, Tao, Pablo Raúl Stinga +5
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1109.6156

openalex publication_date 2011/09/28 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We derive Hölder regularity estimates for operators associated with a time independent Schrödinger operator of the form -Δ+V. The results are obtained by checking a certain condition on the function T1. Our general method applies to get regularity estimates for maximal operators and square functions of the heat and Poisson semigroups, for Laplace transform type multipliers and also for Riesz transforms and negative powers (-Δ+V)^-γ/2, all of them in a unified way.

Citations

• A T1 criterion for Hermite-Calderon-Zygmund operators on the BMO_H(Rⁿ) space and applications

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