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M-harmonic functions with M-harmonic square
Published online by Cambridge University Press: 17 April 2009
Extract
ℳ-harmonic functions with ℳ-harmonic square are proved to be either holomorphic or antiholomorphic in the unit ball of complex n-space under certain additional conditions. For example, if u and u2 are ℳ-harmonic in the unit ball of ℂ2 and if u is continuously differentiable up to the boundary then u is either holomorphic or antiholomorphic.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 53 , Issue 1 , February 1996 , pp. 123 - 129
- Copyright
- Copyright © Australian Mathematical Society 1996