Abstract
We analyze the boundary behavior of harmonic functions in a domain whose boundary is locally given by a graph of a Hölder continuous function. In particular we give a non-probabilistic proof of a Harnack-type principle, due to Bañuelos et al. and study some properties of the harmonic measure.
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Acknowledgements and Notes. Partially supported by M.U.R.S.T., Italy (40% and 60%).
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Ferrari, F. On boundary behavior of harmonic functions in Hölder domains. The Journal of Fourier Analysis and Applications 4, 447–461 (1998). https://doi.org/10.1007/BF02498219
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DOI: https://doi.org/10.1007/BF02498219