Function Spaces. Vol.1 - Banach Function Spaces

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.

About the author

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 Füík ¿.

Report

"Das Buch stellt dadurch eine nützliche Informationsquelle (ergänzt durch ein umfangreiches Literaturverzeichnis)dar, in einem nicht besonders übersichtlichen Teilgebiet."
V. Losert in: Monatsh Math 186 (2018), 561-564

Product details

• Authors: Svatopluk Fucík, Old¿ich John, Oldirch John, Oldrich John, Alois Kufner, Lubo¿ Pick, Lubos Pick
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 01.12.2012
• EAN: 9783110250411
• ISBN: 978-3-11-025041-1
• No. of pages: 494
• Dimensions: 177 mm x 32 mm x 246 mm
• Weight: 1132 g
• Illustrations: 5 b/w ill.
• Series: de Gruyter Series in Nonlinear Analysis and Applications; de Gruyter Series in Nonlinear Analysis and Applications; ISSN; De Gruyter Series in Nonlinear Analysis and Applications, 14/1
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis