25 citations · 27 across the 2 of their papers we have counts for
3 papers
math.FA2019★ 2 cited
Elliptic problems and holomorphic functions in Banach spaces
Wolfgang Arendt, Manuel Bernhard, Marcel Kreuter
In the first part we show that a vector-valued almost separably valued function is holomorphic (harmonic) if and only if it is dominated by an function and t…
math.FA2018
The Perron solution for vector-valued equations
Marcel Kreuter
Given a continuous function on the boundary of a bounded open set in there exists a unique bounded harmonic function, called the Perron solution, taking the prescrib…
math.FA2016★ 25 cited
Mapping theorems for Sobolev-spaces of vector-valued functions
Wolfgang Arendt, Marcel Kreuter
We consider Sobolev spaces with values in Banach spaces as they are frequently useful in applied problems. Given two Banach spaces and , each Lipschitz continuous m…