@UNPUBLISHED{publication1, title = "Characterization of embeddings of Sobolev-type spaces into generalized H\ölder spaces defined by Lp-modulus of smoothness", author = "{GOGATISHVILI, Amiran} and {NEVES, J{\'{u}}lio S.} and {OPIC, Bohum{\ยด{i}}r}", year = "2018-04-20", abstract = " We prove a sharp estimate for the k-modulus of smoothness, modelled upon a p-Lebesgue space, of a function f in WkL pn/(n+kp),p(\&\#8486;) + Wk Lp(\&\#8486;), where \&\#8486; is a domain with minimally smooth boundary and finite Lebesgue measure. This sharp estimate is used to establish necessary and sufficient conditions for continuous embeddings of Sobolev-type spaces into generalized H\ölder spaces defined by means of the k-modulus of smoothness. General results are illustrated with examples. In particular, we obtain a generalization of the classical Jawerth embeddings. ", url = "http://www.mat.uc.pt/preprints/eng\_2018.html", note = "" }