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1997 | 123 | 1 | 43-80
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The boundary Harnack principle for the fractional Laplacian

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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.
  • Institute of Mathematics, Technical University of Wrocław, 50-370 Wrocław, Poland,
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