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Sobolev Spaces in Mathematics I Sobolev Type Inequalities /

This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a...

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Détails bibliographiques
Cote:Libro Electrónico
Collectivité auteur: SpringerLink (Online service)
Autres auteurs: Maz'ya, Vladimir (Éditeur intellectuel)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Springer, 2009.
Édition:1st ed. 2009.
Collection:International Mathematical Series, 8
Sujets:
Accès en ligne:Texto Completo
Table des matières:
  • My Love Affair with the Sobolev Inequality
  • Maximal Functions in Sobolev Spaces
  • Hardy Type Inequalities via Riccati and Sturm-Liouville Equations
  • Quantitative Sobolev and Hardy Inequalities, and Related Symmetrization Principles
  • Inequalities of Hardy-Sobolev Type in Carnot-Carathéodory Spaces
  • Sobolev Embeddings and Hardy Operators
  • Sobolev Mappings between Manifolds and Metric Spaces
  • A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions
  • Optimality of Function Spaces in Sobolev Embeddings
  • On the Hardy-Sobolev-Maz'ya Inequality and Its Generalizations
  • Sobolev Inequalities in Familiar and Unfamiliar Settings
  • A Universality Property of Sobolev Spaces in Metric Measure Spaces
  • Cocompact Imbeddings and Structure of Weakly Convergent Sequences.