Growth properties of superharmonic functions along rays
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- by Stephen J. Gardiner PDF
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Abstract:
This paper gives a precise topological description of the set of rays along which a superharmonic function on $\mathbb {R}^n$ may grow quickly. The corollary that arbitrary growth cannot occur along all rays answers a question posed by Armitage.References
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Additional Information
- Stephen J. Gardiner
- Affiliation: Department of Mathematics, University College Dublin, Dublin 4, Ireland
- MR Author ID: 71385
- ORCID: 0000-0002-4207-8370
- Email: stephen.gardiner@ucd.ie
- Received by editor(s): April 1, 1998
- Received by editor(s) in revised form: August 13, 1998
- Published electronically: November 1, 1999
- Communicated by: Albert Baernstein II
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1963-1970
- MSC (2000): Primary 31B05
- DOI: https://doi.org/10.1090/S0002-9939-99-05197-7
- MathSciNet review: 1646303