Lipschitz-Type Spaces of Pluriharmonic Mappings


J. Qiao, X. Wang




In this paper, we discuss the pluriharmonic mappings in the $n$-dimensional complex space $\Bbb C^n$. Several characterizations for pluriharmonic mappings to be in Lipschitz-type spaces are given, which are generalizations of the corresponding results for harmonic functions. Our proofs are related to the corresponding results of Gehring and Martio, Lappalainen, Mateljevi\'c, Dyakonov and Pavlovi\'c.