Eigenvalues, embeddings and generalised trigonometric functions
The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers wit...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2011. |
| Colección: | Lecture Notes in Mathematics
2016 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 229 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Eigenvalues, embeddings and generalised trigonometric functions, Jan Lang, David Edmunds, Heidelberg, Springer, 2011, 1 vol. (XI-220 p.), Lecture notes in mathematics, 978-3-642-18267-9 |
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| 020 | |a 9783642184291 | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Lang, Jan, |d 19..- | |
| 245 | 1 | 0 | |a Eigenvalues, embeddings and generalised trigonometric functions |c Jan Lang, David Edmunds. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Lecture Notes in Mathematics |v 2016 |x 1617-9692 | |
| 500 | |a L'impression du document génère 229 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a 1 Basic material 2 Trigonometric generalisations 3 The Laplacian and some natural variants 4 Hardy operators 5 s-Numbers and generalised trigonometric functions 6 Estimates of s-numbers of weighted Hardy operators 7 More refined estimates 8 A non-linear integral system 9 Hardy operators on variable exponent spaces | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The main theme of the book is the study, from the standpoint of s-numbers, of integral operators of Hardy type and related Sobolev embeddings. In the theory of s-numbers the idea is to attach to every bounded linear map between Banach spaces a monotone decreasing sequence of non-negative numbers with a view to the classification of operators according to the way in which these numbers approach a limit: approximation numbers provide an especially important example of such numbers. The asymptotic behavior of the s-numbers of Hardy operators acting between Lebesgue spaces is determined here in a wide variety of cases. The proof methods involve the geometry of Banach spaces and generalized trigonometric functions; there are connections with the theory of the p-Laplacian | ||
| 650 | |a Opérateurs de Hardy | ||
| 650 | |a Laplacien | ||
| 650 | |a Fonctions trigonométriques | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Mathématiques |x Étude et enseignement | ||
| 650 | |a Approximation, Théorie de l' | ||
| 650 | |a Mathématiques | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Analyse globale (mathématiques) | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Fonctions spéciales | ||
| 700 | 1 | |a Edmunds, David Eric, |d 1931- |4 aut | |
| 776 | 0 | |0 151717249 |t Eigenvalues, embeddings and generalised trigonometric functions |f Jan Lang, David Edmunds |c Heidelberg |n Springer |d 2011 |p 1 vol. (XI-220 p.) |s Lecture notes in mathematics |z 978-3-642-18267-9 | |
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