Lipschitz conditions on the modulus of a harmonic function
Miroslav Pavlović
University of Belgrade, Beograd, Serbia
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Abstract
It is proved that if is a real valued function harmonic in the open unit ball and continuous on the closed ball, then the following conditions are equivalent, for :
- ;
- ;
- .
The Lipschitz condition on is also considered.
Cite this article
Miroslav Pavlović, Lipschitz conditions on the modulus of a harmonic function. Rev. Mat. Iberoam. 23 (2007), no. 3, pp. 831–845
DOI 10.4171/RMI/515