A meeting between Sobolev, Bessel, Hölder, Lorentz and Karamata in order to discuss optimal embeddings and some open problems

Description:  In this talk we give a short survey on the results of embeddings of Sobolev type spaces into Hölder type spaces, including as well the famous result of Brézis and Wainger about almost Lipschitz continuity of elements of the Sobolev space with super-critical exponent of smoothness. Afterwards, we discuss different sharp inequalities that will allow to derive necessary and sufficient conditions for embeddings of Sobolev type spaces modelled upon rearrangement invariant Banach function spaces X into generalized Hölder spaces. Some open problems will be presented as well. Date:  2016-11-18 Start Time:   15:00 Speaker:  Júlio Neves (CMUC, Univ. Coimbra) Institution:  CMUC Place:  Room 2.5 Organization:  UC|UP Joint PhD Program in Mathematics See more:   <Main>   <UC|UP MATH PhD Program>