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Sobolev Spaces
Now in its second edition, this highly successful reference text is updated to include recent developments in the theory of spaces. Sobolev Spaces has been chosen to re-launch the famous AP Pure and Applied Mathematics Series.
Robert A. Adams (Author), John J. F. Fournier (Author)
9780120441433, Elsevier Science
Hardback, published 26 June 2003
320 pages
22.9 x 15.2 x 2.4 cm, 1.18 kg
"This book can be highly recommended to every reader interested in functional analysis and its applications" --MathSciNet
Sobolev Spaces presents 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 Spaces is intended to provide a solid foundation in these spaces for graduate students and researchers alike.
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.
Subject Areas: Functional analysis & transforms [PBKF]
