Sobolev spaces

Main Author: Adams, R. A. 1940-
Corporate Authors: ScienceDirect (Online Service), Academic Press
Other Authors: Fournier, John J. F.
Format: Book
Language:English
Published: Amsterdam ; Boston : Academic Press, 2003.
Edition:2nd ed.
Series:Pure and applied mathematics ; v. 140
Subjects:
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.