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CARLEMAN APPROXIMATION FOR SUPERHARMONIC FUNCTIONS

Published online by Cambridge University Press:  24 March 2003

STEPHEN J. GARDINER
Affiliation:
Department of Mathematics, University College Dublin, Dublin 4, Irelandstephen.gardiner@ucd.ie
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Abstract

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.

Type
NOTES AND PAPERS
Copyright
© The London Mathematical Society 2003

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Footnotes

Research supported by EU Research Training Network HPRN-CT-2000-00116.