Geodesic
A Nevanlinna theorem for superharmonic functions on Dirichlet regular Greenian sets
Mathematica Bohemica, Tome 130 (2005) no. 1, pp. 1-18

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A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Green balls is proved. This enables us to generalize many other theorems, on the behaviour of mean values of superharmonic functions over Green spheres, on the Hausdorff measures of certain sets, on the Riesz measures of superharmonic functions, and on differences of positive superharmonic functions.
A generalization of Nevanlinna’s First Fundamental Theorem to superharmonic functions on Green balls is proved. This enables us to generalize many other theorems, on the behaviour of mean values of superharmonic functions over Green spheres, on the Hausdorff measures of certain sets, on the Riesz measures of superharmonic functions, and on differences of positive superharmonic functions.
DOI : 10.21136/MB.2005.134218
Classification : 30D35, 31B05, 31B10
Keywords: Nevanlinna theorem; superharmonic function; $\delta $-subharmonic function; Riesz measure; mean value 
Watson, Neil A. A Nevanlinna theorem for superharmonic functions on Dirichlet regular Greenian sets. Mathematica Bohemica, Tome 130 (2005) no. 1, pp. 1-18. doi: 10.21136/MB.2005.134218
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