Harmonic mappings and logharmonic functions occupy a central role in complex analysis and applied mathematics. Harmonic mappings are functions that satisfy Laplace’s equation and are frequently ...
Let φ be an analytic self-map of the unit disk. The weak compactness of the composition operators Cφ : f ↦ f o φ is characterized on the vector-valued harmonic Hardy spaces h1 (X), and on the spaces ...