Around the Research of Vladimir Maz'ya I
Function Spaces
(Sprache: Englisch)
The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known. This volume contains new results on actual topics of function spaces presented by leading and world-renowned specialists.
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The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known. This volume contains new results on actual topics of function spaces presented by leading and world-renowned specialists.
Klappentext zu „Around the Research of Vladimir Maz'ya I “
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.
Inhaltsverzeichnis zu „Around the Research of Vladimir Maz'ya I “
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.
Bibliographische Angaben
- 2012, XXII, 398 Seiten, Maße: 15,6 x 23,4 cm, Kartoniert (TB), Englisch
- Herausgegeben: Ari Laptev
- Verlag: Springer, Berlin
- ISBN-10: 1461425476
- ISBN-13: 9781461425472
Sprache:
Englisch
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