Lipschitz conditions on the modulus of a harmonic function

Miroslav Pavlović
2007 Revista matemática iberoamericana  
It is proved that if u is a real valued function harmonic in the open unit ball B N ⊂ R N and continuous on the closed ball, then the following conditions are equivalent, for 0 < α < 1: The Lipschitz condition on |u| p is also considered.
doi:10.4171/rmi/515 fatcat:frdfu27siraujibzuei3sa7cgm