@UNPUBLISHED{publication1, title = "Traces and extensions of generalized smoothness Morrey spaces on domains", author = "{MOURA, Susana D.} and {NEVES, J{\'{u}}lio S.} and {SCHNEIDER, Cornelia}", year = "2018-04-20", abstract = "We study traces on the boundary of generalized smoothness Morrey spaces on Ck domains \&\#8486;. These spaces are equipped with three parameters s,p,q and a function parameter \&\#981;. Our results remain valid for the usual Besov-Morrey spaces Nsu,p,q(\&\#8486;), Triebel-Lizorkin-Morrey spaces Esu,p,q(\&\#8486;), and Triebel-Lizorkin type spaces Fs,\τp,q(\&\#8486;), which are all included in our scales as special cases. Moreover, to complete our investigation, we also study traces of Besov-type spaces Bs,\τp,q(\&\#8486;), which are not covered by our approach and give some applications in terms of a priori estimates generalizing results from [Bar05]. ", url = "http://www.mat.uc.pt/preprints/eng\_2018.html", note = "" }