Around the Research of Vladimir Maz'ya I

Function Spaces
Herausgegeben:Laptev, Ari

• Gebundenes Buch

Produktbeschreibung

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.

Produktdetails

• International Mathematical Series 11
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 12262496, 978-1-4419-1340-1
• 2010 edition
• Seitenzahl: 398
• Erscheinungstermin: 4. Januar 2010
• Englisch
• Abmessung: 242mm x 163mm x 33mm
• Gewicht: 758g
• ISBN-13: 9781441913401
• ISBN-10: 1441913408
• Artikelnr.: 26617519

Inhaltsangabe

Hardy Inequalities for Nonconvex Domains.- Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions.- On Some Aspects of the Theory of Orlicz#x2013;Sobolev Spaces.- Mellin Analysis of Weighted Sobolev Spaces with Nonhomogeneous Norms on Cones.- Optimal Hardy#x2014;Sobolev#x2014;Maz#x2019;ya Inequalities with Multiple Interior Singularities.- Sharp Fractional Hardy Inequalities in Half-Spaces.- Collapsing Riemannian Metrics to Sub-Riemannian and the Geometry of Hypersurfaces in Carnot Groups.- Sobolev Homeomorphisms and Composition Operators.- Extended Dirichlet Spaces.- Characterizations for the Hardy Inequality.- Geometric Properties of Planar -Extension Domains.- On a New Characterization of Besov Spaces with Negative Exponents.- Isoperimetric Hardy Type and Poincar#x00E9; Inequalities on Metric Spaces.- Gauge Functions and Sobolev Inequalities on Fluctuating Domains.- A Converse to the Maz#x2019;ya Inequality for Capacities under Curvature Lower Bound.- Pseudo-Poincar#x00E9; Inequalities and Applications to Sobolev Inequalities.- The -Faber-Krahn Inequality Noted.