Around the Research of Vladimir Maz'ya I

The fundamental contributions of Professor Maz''ya to the theory of function spaces and especially Sobolev spaces are well known and often play a key role in the study of different aspects of the theory, which is demonstrated, in particular, by presented new results and reviews from world-recognized specialists. Sobolev type spaces, extensions, capacities, Sobolev inequalities, pseudo-Poincare inequalities, optimal Hardy-Sobolev-Maz''ya inequalities, Maz''ya''s isocapacitary inequalities in a measure-metric space setting and many other actual topics are discussed.