Bogdan, Krzysztof; Byczkowski, Tomasz Potential theory of Schrödinger operator based on fractional Laplacian. (English) Zbl 0996.31003 Probab. Math. Stat. 20, No. 2, 293-335 (2000). The authors study the potential theory of Schrödinger operators based on fractional Laplacians in Euclidean spaces of arbitrary dimension. The starting point of this paper is a conditional gauge theorem for small balls, which is an easy consequence of the 3G inequality. Reviewer: Renming Song (Urbana) Cited in 64 Documents MSC: 31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions 31B15 Potentials and capacities, extremal length and related notions in higher dimensions 60J45 Probabilistic potential theory 35J10 Schrödinger operator, Schrödinger equation Keywords:symmetric \(\alpha\)-stable processes; Feynman-Kac semigroups; Schrödinger operators; Kelvin transforms; conditional gauge theorems PDFBibTeX XMLCite \textit{K. Bogdan} and \textit{T. Byczkowski}, Probab. Math. Stat. 20, No. 2, 293--335 (2000; Zbl 0996.31003)