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.