Function Spaces, 1

2. revidierte and ext. Auflage 2012
ISBN: 978-3-11-025041-1
Verlag: De Gruyter

Buch, Englisch, Band 14/1, 479 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 1115 g

Reihe: De Gruyter Series in Nonlinear Analysis and Applications

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

Zielgruppe

Graduate Students, Lecturers, and Researchers in Mathematics; Academic Libraries

Autoren/Hrsg.

Pick, Lubo¿

Fucík, Svatopluk

Kufner, Alois

John, Old¿ich

John, Oldrich

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Über Autor(innen)

Luboš Pick, Charles University, Prague, Czech Republic; Alois Kufner, The Academy of Sciences of the Czech Republic, Prague, Czech Republic; Oldrich John, Charles University, Prague, Czech Republic; Svatopluk Fucík †.