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 D be a bounded Lipschitz domain in Rn and let K(x, z), x ∊ D, z ∊ ∂D, be the Martin kernel based at $x_{0}\in D$. For x, y ∊ D, let k(x, y) = inf{h(x): h ...

In the early nineteenth century, the French mathematical physicist Joseph Fourier showed that many mathematical functions can be represented as the weighted sum of a series of sines and cosines of ...