Sobolev Spaces by Robert A. Adams

Sobolev Spaces

byRobert A. Adams, John J. F. FournierEditorRobert A. Adams

Hardcover | July 1, 2003

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Sobolev Spacespresents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences.

This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of the book remains unchanged:Sobolev Spacesis intended to provide a solid foundation in these spaces for graduate students and researchers alike.



  • Self-contained and accessible for readers in other disciplines
  • Written at elementary level making it accessible to graduate students

Details & Specs

Title:Sobolev SpacesFormat:HardcoverDimensions:320 pages, 6 × 9 × 0.98 inPublished:July 1, 2003Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0120441438

ISBN - 13:9780120441433

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Table of Contents

* Includes reviews of real analysis and an extensive treatment of Lebesgue spaces.
* Develops at length the intrinsic definition and properties of Sobolev spaces, in particular their imbedding, compact imbedding, interpolation and extension properties.
* Provides a thorough treatment of the real interpolation method and its application to Lorentz and Besov spaces.
* Includes surveys of other fractional-order spaces (Bessel potentials, Triebel-Lizorkin).
* Develops the theory of Orlicz and Orlicz-Sobolev spaces and their imbeddings.

Editorial Reviews

"This book can be highly recommended to every reader interested in functional analysis and its applications"
MathSciNet on Sobolev Spaces First Edition