Uniform domains close to a ball
In the paper under review the authors present a few geometric properties of the uniform domains using Möbius-invariant definitions. The main result is that, for large angles without additional constraints, the property of homogeneity of a domain for pairs of boundary points is equivalent to the property for all pairs of points in the domain and the points of the complement. The initial definition of uniform domains by Martio and Sarvas does not make it possible to describe the domains close to a ball.
scientific article; zbMATH DE number 6012547
scientific article