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Around the Research of Vladimir Maz'ya I

Around the Research of Vladimir Maz'ya I

          
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About the Book

Professor 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.


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Product Details
  • ISBN-13: 9781441913401
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Depth: 25
  • Height: 234 mm
  • No of Pages: 398
  • Series Title: International Mathematical
  • Sub Title: Function Spaces
  • Width: 156 mm
  • ISBN-10: 1441913408
  • Publisher Date: 01 Jan 2010
  • Binding: Hardback
  • Edition: 2010 ed.
  • Language: English
  • Returnable: N
  • Spine Width: 24 mm
  • Weight: 763 gr


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