On planar harmonic Lipschitz and planar harmonic Hardy classes

Abstract

In this paper, we investigate the properties of two classes of planar harmonic mappings. First, we discuss the equivalent norms on Lipschitz-type spaces of harmonic K-quasiregular mappings and then we study the relationship between the harmonic area functions and the harmonic Hardy classes. We also establish Landau's theorem for a class of harmonic Hardy mappings.