Theory of Sobolev Multipliers With Applications to Differential and Integral Operators /

• Κύριοι συγγραφείς: Maz'ya, Vladimir G. (Συγγραφέας), Shaposhnikova, Tatyana O. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Σειρά: Grundlehren der mathematischen Wissenschaften, 337
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Integral equations.; Partial differential equations.; Analysis.; Integral Equations.; Partial Differential Equations.; Functional Analysis.

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...

Πίνακας περιεχομένων:

• 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 ½ 2 ? W ?½ 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.