Abstract
This paper examines the boundary behaviour of superharmonic functions on a half-space in terms of their behaviour along lines normal to the boundary. It is shown that, if the set of lines along which such functions grow quickly is (in a certain sense) metrically dense, then the set of lines along which they are bounded below is topologically small.
Citation
Stephen J. Gardiner. "Boundary growth theorems for superharmonic functions." Ark. Mat. 37 (2) 255 - 273, October 1999. https://doi.org/10.1007/BF02412214
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