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. New results on actual topics of function spaces presented by leading world-recognized specialists and connected with earlier fundamental results of Prof. Maz'ya There are several collections of papers honored Prof. Maz'ya. Prof. Maz'ya published more than 20 monographs and more than 450 articles. The range of his interests is very wide and many of his results play akey role in many areas of analysis and PDEs. Nevertheless, the presented volume is absolutely different from all published books honored V. Maz'ya: It focuses on the current state of research in analysis, PDEs and function theory, detailing recent advances, selected in relation to Mazy’as results. All the results are new and never published earlier The mentioned collections present proceedings of conferences in honor of V. Maz'ya and contributors are participantsof these conferences. In this volume contributors and contributions were selected in accordance with the main idea of the volume INDICE: Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions.- On Some Aspects of the Theory of Orlicz-Sobolev Spaces.- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones.- Optimal Hardy-Sobolev-Maz'ya Inequalities with Multiple Interior Singularities.- Sharp Fractional Hardy Inequalities in Half-Spaces.- Collapsing Riemannian Metrics to Sub-Riemannian Ones and the Geometry of Hypersurfaces in Carnot Groups.- Sobolev Homeomorphisms and Composition Operators.- Extended Lp Dirichlet Spaces.- Characterizations for the Hardy Inequality.- On First Neumann Eigenvalue Bounds for Conformal Metrics.- Geometric Properties of Planar BV-Extension Domains.- On a New Characterization of Besov Spaces with Negative Exponents.- Isoperimetric Hardy Type and Poincare Inequalities on Metric Spaces.- A Converse to Maz'ya's Inequality for Capacities under Curvature Lower Bound.-Gauge Functions and Sobolev Inequalities on Fluctuating Domains.- Pseudo-Poincare Inequalities and Applications to Sobolev Inequalities.
- ISBN: 978-1-4419-1340-1
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 400
- Fecha Publicación: 01/11/2009
- Nº Volúmenes: 1
- Idioma: Inglés