En savoir plus
This is the first part of the third corrected and extended edition of a well established monograph. It is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces to study other topics such as partial differential equations. Volume 1 deals with Banach function spaces, Volume 2 with Sobolev-type spaces.
A propos de l'auteur
Luboš Pick, Oldřich John, Charles Univ., Prague, Czech Rep.; Alois Kufner, The Academy of Sci., Prague, Czech Rep.; Svatopluk Fučík †.
Résumé
The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Editor-in-Chief
Jürgen Appell, Würzburg, Germany
Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland
Jiguang Bao, Beijing, China
Avner Friedman, Columbus, Ohio, USA
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan
Guozhen Lu, Storrs, CT, USA
Wojciech Kryszewski, Toruń, Poland
Vicenţiu D. Rădulescu, Kraków, Poland
Simeon Reich, Haifa, Israel
Please submit book proposals to Jürgen Appell.
Titles in planning include
Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy–Leray Potential (2020)
Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)
Commentaire
"The volume under review contains both basic and less known results regarding various spaces of integrable functions and will remain an important source of information for students and researchers alike. It is a book which any reader interested in the theory of spaces of scalar-valued integrable functions should consult." Mathematical Reviews
