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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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Maz<U+0019>ya, Vladimir. (Editor)
Format: Electronic
Language:English
Published: New York, NY : Springer New York, 2009.
Series:International Mathematical Series, 8
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-85648-3
Table of Contents:
  • My Love Affair with the Sobolev Inequality, D.R. Adams
  • Maximal Functions in Sobolev Spaces, D. Aalto, J. Kinnunen
  • Hardy Type Inequalities Via Riccati and Sturm<U+0013>Liouville Equations, S. Bobkov, F. Gt̲ze
  • Quantitative Sobolev and Hardy Inequalities and Related Symmetrization Principles, A. Cianchi
  • Inequalities of Hardy<U+0013>Sobolev Type in Carnot<U+0013>Carathǒdory Spaces, D. Danielli et al
  • Sobolev Embeddings and Hardy Operators, D.E. Edmunds, W.D. Evans
  • Sobolev Mappings between Manifolds and Metric Spaces, P. Hajlasz
  • A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions, V. Maz'ya, T. Shaposhnikova
  • Optimality of Function Spaces in Sobolev Embeddings, L. Pick
  • On the Hardy<U+0013>Sobolev<U+0013>Maz'ya Inequality and Its Generalizations, Y. Pinchover, K. Tintarev
  • Sobolev Inequalities in Familiar and Unfamiliar Settings, L. Saloff-Coste
  • A Universality Property of Sobolev Spaces in Metric Measure Spaces, N. Shanmugalingam
  • Cocompact Imbeddings and Structure of Weakly Convergent Sequences, K. Tintarev.