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Around the Research of Vladimir Maz'ya I Daniel W wird im theoretischen Teil derThe 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,