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Growth properties of superharmonic functions along rays
Author(s):
Stephen
J.
Gardiner
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1963-1970.
MSC (2000):
Primary 31B05
Posted:
November 1, 1999
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Abstract:
This paper gives a precise topological description of the set of rays along which a superharmonic function on  may grow quickly. The corollary that arbitrary growth cannot occur along all rays answers a question posed by Armitage.
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Additional Information:
Stephen
J.
Gardiner
Affiliation:
Department of Mathematics, University College Dublin, Dublin 4, Ireland
Email:
stephen.gardiner@ucd.ie
DOI:
10.1090/S0002-9939-99-05197-7
PII:
S 0002-9939(99)05197-7
Received by editor(s):
April 1, 1998
Received by editor(s) in revised form:
August 13, 1998
Posted:
November 1, 1999
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
2000,
American Mathematical Society
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