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The boundary Harnack principle for the fractional Laplacian

Tom 123 / 1997

Krzysztof Bogdan Studia Mathematica 123 (1997), 43-80 DOI: 10.4064/sm-123-1-43-80

Streszczenie

We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.

Autorzy

  • Krzysztof Bogdan

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