摘要
In this paper, we prove that if the positive part u(+)(z) of a harmonic function u(z) in a half-plane satisfies a slowly growing condition, then its negative part u(-)(z) can also be dominated by a similarly growing condition. Further, a solution of the Dirichlet problem in a half-plane for a fast growing continuous boundary function is constructed by the generalized Dirichlet integral with this boundary function.
- 出版日期2014-12-12
- 单位河南大学