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 ...

https://doi.org/10.4169/amer.math.monthly.124.6.535 https://www.jstor.org/stable/10.4169/amer.math.monthly.124.6.535 We investigate functions with the property that ...

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 ...