Function Spaces, 1 (De Gruyter Series in Nonlinear Analysis and Applications, 14/1)

Pick, Luboš; Kufner, Alois; John, Oldřich; Fucík, Svatopluk

ISBN 10: 3110250411 / ISBN 13: 9783110250411

Editore: De Gruyter, 2012

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Dati bibliografici

• Titolo: Function Spaces, 1 (De Gruyter Series in Nonlinear Analysis and Applications, 14/1)
• Editore: De Gruyter
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3110250411
• ISBN 13: 9783110250411
• Rilegatura: Rilegato
• Edizione: seconda edizione
• Condizione: good

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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 †.