On the subinvariance of uniform domains in Banach spaces

Manzi Huang, Xiantao Wang, Matti Vuorinen

Suppose that $E$ and $E^{\prime }$ denote real Banach spaces with dimension at least 2, that $D\subset E$ and $D^{\prime }\subset E^{\prime }$ are domains, and that $f:D\to D^{\prime }$ is a homeomorphism. In this p…