H\"older regularity for parabolic De Giorgi classes in metric measure   spaces
  We give a proof for the H\"older continuity of functions in the parabolic De Giorgi classes in metric measure spaces. We assume the measure to be doubling, to support a weak $(1,p)$-Poincar\'e inequality and to satisfy the annular decay property. 
Mathias Masson and Juhana Siljander
math.AP