Potential theory for the α-stable Schrödinger operator on bounded Lipschitz domains

Volume 133 / 1999

Krzysztof Bogdan Studia Mathematica 133 (1999), 53-92 DOI: 10.4064/sm-133-1-53-92


The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.


  • Krzysztof Bogdan

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