{"product_id":"9781441913401","title":"Around the Research of Vladimir Maz'ya I: Function Spaces","description":"\u003cp\u003eProfessor Maz'ya - one of the main developers of the modern theory of Sobolev spaces - contributed to the theory in many various directions. The strong influence of his fundamental works is traced in recent results presented in this volume from world-recognized specialists. The topics cover various aspects of the theory of function spaces, including Orlicz-Sobolev spaces, weighted Sobolev spaces, Dirichlet spaces, Besov Spaces with negative exponents, fractional Sobolev spaces on half-spaces and sharp constants in the Hardy inequality, Maz'ya's capacitary analogue of the co-area inequality adapted to the setting of metric probability spaces, Hardy-Sobolev-Maz'ya inequalities, converse of Maz'ya's inequality for capacities, Hersch's isoperimetric inequality, isoperimetric Hardy type and Poincare inequalities on metric spaces, isoperimetric problems in connection with Carnot groups, pseudo-Poincare inequalities and applications to Sobolev inequalities, Sobolev inequalities on fluctuating domains, Sobolev homeomorphisms and composition operators, extension domains for functions with bounded variation.\u003c\/p\u003e","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":47026267488496,"sku":"9781441913401","price":199.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781441913401_p0.jpg?v=1763799128","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781441913401","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}