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

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

2011-09-28

arxiv.org/abs/1109.6156v1

Mathematics

Analysis of PDEs

21 pages

Scientific paper

We derive H\"older regularity estimates for operators associated with a time independent Schr\"odinger operator of the form -\Delta+V. The results are obtained by checking a certain condition to 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 (-\Delta+V)^{-\gamma/2}, all of them in an unified way.

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