Function Spaces, 1 / / Alois Kufner, Luboš Pick, Oldřich John, Svatopluk Fucík.

• Superior document: Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications
• VerfasserIn: Pick, Luboš,; Fucík, Svatopluk,; John, Oldřich,; Kufner, Alois,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2012]; ©2013
• Year of Publication: 2012
• Edition: 2nd rev. and ext. ed.
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 14/1
• Physical Description: 1 online resource (479 p.)

This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. 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.

Table of Contents

Frontmatter -- Preface -- Contents -- Chapter 1. Preliminaries -- Chapter 2. Spaces of smooth functions -- Chapter 3. Lebesgue spaces -- Chapter 4. Orlicz spaces -- Chapter 5. Morrey and Campanato spaces -- Chapter 6. Banach function spaces -- Chapter 7. Rearrangement-invariant spaces -- Chapter 8. Lorentz spaces -- Chapter 9. Generalized Lorentz–Zygmund spaces -- Chapter 10. Classical Lorentz spaces -- Chapter 11. Variable-exponent Lebesgue spaces -- Bibliography -- Index