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Sobolev spaces

Author: Robert A Adams; John J F Fournier
Publisher: Amsterdam [u.a.] Acad. Press 2003
Series: Pure and applied mathematics, 140
Edition/Format:   Print book : English : 2. edView all editions and formats
Database:WorldCat
Summary:

Presents an introduction to the theory of Sobolev Spaces and other related spaces of function, as well as to the imbedding characteristics of these spaces. This theory is widely used in pure and  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Robert A Adams; John J F Fournier
ISBN: 0120441438 9780120441433
OCLC Number: 249428601
Notes: Literaturverz. S. [295] - 300
Description: XIII, 305 S graph. Darst 24 cm
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.
Series Title: Pure and applied mathematics, 140
Responsibility: Robert A. Adams and John J.F. Fournier
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"This book can be highly recommended to every reader interested in functional analysis and its applications" MathSciNet on Sobolev Spaces First Edition

 
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