Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On functions subharmonic in a Lipschitz domain
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by Jang-Mei Gloria Wu
Proc. Amer. Math. Soc. 68 (1978), 309-316
DOI: https://doi.org/10.1090/S0002-9939-1978-0470234-7

Abstract:

Let D be a starlike Lipschitz domain in ${R^n},n \geqslant 2$. If w is a subharmonic function in D with positive harmonic majorant, then at almost every point on the boundary of D (surface measure), w has radial limit. Results on limits along certain ${C^1}$ curves in general Lipschitz domains are also obtained.
References
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Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 68 (1978), 309-316
  • MSC: Primary 31B25
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0470234-7
  • MathSciNet review: 0470234