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...

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Xehetasun bibliografikoak
Egile Nagusiak: Maz½â, Vladimir Gilelevič, 1937-, Shaposhnikova, Tatiana Olegovna, 1946- (Egilea)
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edizioa:1st ed. 2009.
Saila:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 337
Gaiak:
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: 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
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100 1 |a Maz½â, Vladimir Gilelevič,  |d 1937- 
245 1 0 |a Theory of Sobolev multipliers :  |b with applications to differential and integral operators   |c by Vladimir G. Maz'ya, Tatyana O. Shaposhnikova. 
250 |a 1st ed. 2009. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics  |v 337  |x 2196-9701 
500 |a Description d'après consultation du 26 mars 2012 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
504 |a Bibliogr. Index 
505 1 |a Description and Properties of Multipliers Trace Inequalities for Functions in Sobolev Spaces Multipliers in Pairs of Sobolev Spaces Multipliers in Pairs of Potential Spaces The Space M(B m p ? B l p ) with p > 1 The Space M(B m 1 ? B l 1) Maximal Algebras in Spaces of Multipliers Essential Norm and Compactness of Multipliers Traces and Extensions of Multipliers Sobolev Multipliers in a Domain, Multiplier Mappings and Manifolds Applications of Multipliers to Differential and Integral Operators Differential Operators in Pairs of Sobolev Spaces Schrödinger Operator and M(w 1 2 ? w ?1 2) Relativistic Schrödinger Operator and M(W 2 ? W ? 2) Multipliers as Solutions to Elliptic Equations Regularity of the Boundary in L p -Theory of Elliptic Boundary Value Problems Multipliers in the Classical Layer Potential Theory for Lipschitz Domains Applications of Multipliers to the Theory of Integral Operators 
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 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 
650 |a Multiplicateurs (analyse mathématique) 
650 |a Sobolev, Espaces de 
650 |a Opérateurs différentiels 
650 |a Opérateurs intégraux 
700 1 |a Shaposhnikova, Tatiana Olegovna,  |d 1946-  |4 aut 
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