Lipschitz-type spaces of pluriharmonic mappings

Lipschitz-type spaces of pluriharmonic mappings

In this paper, we discuss the pluriharmonic mappings in the n-dimensional complex space Cn. 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 corr...

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Veröffentlicht in:Filomat 2013-01, Vol.27 (4), p.693-702
Hauptverfasser: Qiao, J., Wang, X.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
College mathematics
Mathematical functions
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Zusammenfassung:In this paper, we discuss the pluriharmonic mappings in the n-dimensional complex space Cn. 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, Mateljević, Dyakonov and Pavlović.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1304693Q