Around the Research of Vladimir Maz'ya I: Function Spaces (International Mathematical Series) by Ari Laptev
Springer; 2010 edition | December 15, 2009 | English | ISBN: 1441913408 | 398 pages | PDF | 4 MB
Springer; 2010 edition | December 15, 2009 | English | ISBN: 1441913408 | 398 pages | PDF | 4 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.