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Carleman Approximation for Superharmonic Functions
Author(s) -
Gardiner Stephen J.
Publication year - 2003
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609302001510
Subject(s) - subharmonic function , mathematics , infinity , approximation error , work (physics) , mathematical analysis , quantum mechanics , physics
This paper deals with better‐than‐uniform approximation by superharmonic functions on non‐compact sets. An application of the main result improves recent work of GowriSankaran and Nersessian concerning approximation with an error bound that decays arbitrarily quickly at infinity.