Theory of Sobolev multipliers : with applications to differential and integral operators
The purpose of this book is to give a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results. Part...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2009. |
| Serier: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
337 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Theory of Sobolev multipliers, with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova, 2009, Berlin, Springer, 1 vol. (XIII-609 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-69490-8 • Theory of Sobolev Multipliers, Texte imprimé, 9783540865711 • Theory of Sobolev Multipliers, Texte imprimé, 9783642089022 • Theory of Sobolev multipliers, with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova, 2009, Berlin, Springer, 1 vol. (XIII-609 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-69490-8 |
| Summary: | The purpose of this book is to give a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results. Part I is devoted to the theory of multipliers and encloses the following topics: trace inequalities, analytic characterization of multipliers, relations between spaces of Sobolev multipliers and other function spaces, maximal subalgebras of multiplier spaces, traces and extensions of multipliers, essential norm and compactness of multipliers, and miscellaneous properties of multipliers. Part II concerns several applications of this theory: continuity and compactness of differential operators in pairs of Sobolev spaces, multipliers as solutions to linear and quasilinear elliptic equations, higher regularity in the single and double layer potential theory for Lipschitz domains, regularity of the boundary in §§L_p§§-theory of elliptic boundary value problems, and singular integral operators in Sobolev spaces |
|---|---|
| Emne beskrivelse: | Description d'après consultation du 26 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografi: | Bibliogr. Index |
| ISBN: | 9783540694922 |
| ISSN: | 2196-9701 |
| Adgang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |