Function Spaces
Volume 1
Seiten
| Ausstattung: Hardcover & eBook
2013
|
2nd rev. and ext. ed.
De Gruyter
9783112189016 (ISBN)
De Gruyter
9783112189016 (ISBN)
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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. Please submit book proposals to Jürgen Appell.
This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Old?ich John, and Svatopluk Fu?ík. Like the first edition this monograph 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 in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.
This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Old?ich John, and Svatopluk Fu?ík. Like the first edition this monograph 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 in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.
Luboš Pick, Charles University, Prague, Czech Republic; Alois Kufner, The Academy of Sciences of the Czech Republic, Prague, Czech Republic; Old?ich John, Charles University, Prague, Czech Republic; Svatopluk Fu?ík †.
| Reihe/Serie | De Gruyter Series in Nonlinear Analysis and Applications ; 14 |
|---|---|
| Zusatzinfo | Includes a print version and an ebook |
| Verlagsort | Berlin/Boston |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | Banach • Banach space • function space • Function Space; Lebesgue Space; Banach Space; Lorentz Space; Orlicz Space; Sobolev Space • Lebesgue • Lebesgue Space • Lorentz • Lorentz Space • Mathematics • Mathematics, Function space, Lebesgue, Banach, Lorentz, Orlicz, Sobolev • Orlicz • Orlicz space • Sobolev • Sobolev Space |
| ISBN-13 | 9783112189016 / 9783112189016 |
| Zustand | Neuware |
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