Abstract.
We study α-harmonic functions in Lipschitz domains. We prove a Fatou theorem when the boundary function is bounded and Lp-Hölder continuous of order β with βp > 1.
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Mathematics Subject Classifications (2000): Primary 31B25; Secondary 60J50
*Research supported by NSF Grant DMS0244737
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Bass, R., You, D. A Fatou theorem for α-harmonic functions in Lipschitz domains. Probab. Theory Relat. Fields 133, 391–408 (2005). https://doi.org/10.1007/s00440-005-0431-x
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DOI: https://doi.org/10.1007/s00440-005-0431-x