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The Lusin-Privalov theorem for subharmonic functions
Author(s):
Stephen
J.
Gardiner
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3721-3727.
MSC (1991):
Primary 31B25
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Abstract:
This paper establishes a generalization of the Lusin-Privalov radial uniqueness theorem which applies to subharmonic functions in all dimensions. In particular, it answers a question of Rippon by showing that no subharmonic function on the upper half-space can have normal limit  at every boundary point.
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Additional Information:
Stephen
J.
Gardiner
Affiliation:
Department of Mathematics, University College, Dublin 4, Ireland
Email:
gardiner@acadamh.ucd.ie
DOI:
10.1090/S0002-9939-96-03879-8
PII:
S 0002-9939(96)03879-8
Received by editor(s):
May 10, 1995
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
1996,
American Mathematical Society
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