Locally univalent functions, VMOA and the Dirichlet space
Locally univalent functions, VMOA and the Dirichlet space
We study geometric properties of the image of the unit circle under a bounded locally univalent function g such that log g′ belongs either to the Dirichlet space 𝒟, VMOA or the little Bloch space ℬ0. Concerning VMOA and ℬ0, our findings generalize the corresponding results for conformal maps shown …