Gaussian estimates for Schroedinger perturbations

2013/01/20 by Krzysztof Bogdan, Bogdan, Krzysztof, Karol Szczypkowski +1
Computer Science · Economics, Econometrics and Finance · Mathematics · #Advanced Mathematical Modeling in Engineering #Spectral Theory in Mathematical Physics #Stochastic processes and financial applications #math.AP #math.PR #msc:35A08 #msc:35B25 #msc:47D06 #msc:47D08

paper · pdf · doi:10.48550/arxiv.1301.4627

24 pages, to appear in Studia Mathematica, minor editorial changes in this version

arxiv created 2014/03/26 · arxiv updated 2014/03/27

Abstract

We prove an optimal 4G Theorem for the Gaussian kernel. We also propose a new general method of estimating Schroedinger perturbations of transition densities, and give applications to the Gaussian kernel.

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