MODIFITED POISSON KERNEL AND LOCAL INTEGRAL REPRESENTATION OF HARMONIC FUNCTIONS

Yanhui Zhang · Journal of Beijing Technology and Business University · 2007

Using the growth condition of a harmonic function u(z) in the right half plane C+,we proved that there exists a Borel measure ν on R,such that the minus between function u(z) and the Poisson integral represented by modified Poisson kernel is harmonic in C+.

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