Around the Research of Vladimir Maz'ya I: Function Spaces

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-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 and the Geometry of Hypersurfaces in Carnot Groups.- Sobolev Homeomorphisms and Composition Operators.- Extended Lp Dirichlet Spaces.- Haracterizations for the Hardy Inequality.- 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.- Gauge Functions and Sobolev Inequalities on Fluctuating Domains.- A Converse to Maz'ya's Inequality for Capacities under Curvature Lower Bound.- Pseudo-Poincaré Inequalities and Applications to Sobolev Inequalities.- The p-Faber-Krahn Inequality Noted.