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Ari Laptev 
Around the Research of Vladimir Maz’ya I 
Function Spaces

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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.

€96.29
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表中的内容

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.
语言 英语 ● 格式 PDF ● 网页 398 ● ISBN 9781441913418 ● 文件大小 3.8 MB ● 编辑 Ari Laptev ● 出版者 Springer New York ● 市 NY ● 国家 US ● 发布时间 2009 ● 下载 24 个月 ● 货币 EUR ● ID 2149952 ● 复制保护 社会DRM

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