Ari Laptev, "Around the Research of Vladimir Maz`ya I: Function Spaces "
English | ISBN: 1441913408 | 2010 | 398 pages | PDF | 5 MB
English | ISBN: 1441913408 | 2010 | 398 pages | PDF | 5 MB
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.