A Note on Lipschitz Continuity of Solutions of Poisson Equations in Metric Measure Spaces

Martin Kell

In this note we show how to adjust some proofs of Koskela et. al 2003 and Jiang 2011 in order to show that in certain spaces $(X,d,\mu )$, like $RCD(K,N)$-spaces, every Sobolev functi…