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Modulus of continuity of a harmonic function at a boundary point

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Abstract

An estimate of the modulus of continuity of a harmonic function at a boundary point is found. This estimate improves a result of the author (1963), formulated in terms of Wiener series. A new condition is given for the Hölder continuity of a harmonic function at a boundary point.

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Literature cited

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Authors
  1. V. G. Maz'ya
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 135, pp. 87–95, 1984.

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Maz'ya, V.G. Modulus of continuity of a harmonic function at a boundary point. J Math Sci 31, 2693–2698 (1985). https://doi.org/10.1007/BF02107253

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  • DOI: https://doi.org/10.1007/BF02107253

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