Around the Research of Vladimir Mazya I : Function Spaces

The fundamental contributions of Professor Mazya 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-Mazya inequalities, Mazyas isocapacitary inequalities in a measure-metric space setting and many other actual topics are discussed.