Removability: First order Sobolev space, PDE solutions, holomorphic   functions. - Sobolev space constructed in a new way
  Holomorphic removability is of importance in dynanical systems theory. P.W.Jones found that Sobolev removability can serve as a substitute. He proved a strong strong result for H\"older domains. The present work gives some results on the this and related matters. 
Andreas Wannebo