| Titre : |
Interpolation spaces : An introduction |
| Type de document : |
texte imprimé |
| Auteurs : |
Jöran Bergh (1941-....), Auteur ; Jörgen Löfström (1937-....), Auteur |
| Editeur : |
Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag |
| Année de publication : |
1976 |
| Collection : |
Die Grundlehren der mathematischen Wissenschaften : in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, ISSN 0072-7830 num. 223 |
| Importance : |
1 vol. (X-207 p.) |
| Présentation : |
ill. |
| Format : |
25 cm |
| ISBN/ISSN/EAN : |
978-3-642-66453-3 |
| Note générale : |
ISBN : 3-540-07875-4 (Berlin). - ISBN : 978-3-642-66453-3 (br.). - ISBN : 0-387-07875-4 (New York). -ISBN : 0-387-07875-5 (erroné) (U.S.) (br.) - EAN : 9783642664533. - Identifiant pérenne de la notice sur SUDOC : https://www.sudoc.fr/004790480 |
| Langues : |
Anglais (eng) |
| Tags : |
Espaces d'interpolation Sobolev, Espaces de Besov, Espaces de Approximation, Théorie de l' Interpolation (mathématiques) Interpolation spaces Sobolev spaces Besov spaces Approximation theory Interpolation |
| Index. décimale : |
515.73 Espaces vectoriels topologiques - Espaces fonctionnels |
| Résumé : |
The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu- script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript. |
| Note de contenu : |
Exercices en fin de chaque chapitre. - Bibliogr. p. 196-204. - Liste des symboles p.205 - Index sujets p. [206]-207.
|
Interpolation spaces : An introduction [texte imprimé] / Jöran Bergh (1941-....), Auteur ; Jörgen Löfström (1937-....), Auteur . - Berlin ; Heidelberg ; Dordrecht ; New York ; London ; Paris ; Wien : Springer Verlag, 1976 . - 1 vol. (X-207 p.) : ill. ; 25 cm. - ( Die Grundlehren der mathematischen Wissenschaften : in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, ISSN 0072-7830; 223) . ISBN : 978-3-642-66453-3 ISBN : 3-540-07875-4 (Berlin). - ISBN : 978-3-642-66453-3 (br.). - ISBN : 0-387-07875-4 (New York). -ISBN : 0-387-07875-5 (erroné) (U.S.) (br.) - EAN : 9783642664533. - Identifiant pérenne de la notice sur SUDOC : https://www.sudoc.fr/004790480 Langues : Anglais ( eng)
| Tags : |
Espaces d'interpolation Sobolev, Espaces de Besov, Espaces de Approximation, Théorie de l' Interpolation (mathématiques) Interpolation spaces Sobolev spaces Besov spaces Approximation theory Interpolation |
| Index. décimale : |
515.73 Espaces vectoriels topologiques - Espaces fonctionnels |
| Résumé : |
The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu- script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript. |
| Note de contenu : |
Exercices en fin de chaque chapitre. - Bibliogr. p. 196-204. - Liste des symboles p.205 - Index sujets p. [206]-207.
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