Optimality of Sobolev Embeddings on $R^d$

Jan Vybíral

FSU Jena, Germany

We study the Sobolev embedding and its optimality on $R^d$. In general, we follow the approach of Edmunds, Kerman and Pick to the optimality of Sobolev embeddings on bounded domains. This time, new phenomena leading to the study of Hardy operators on nontrivial cones of positive functions appear.