Theory of Sobolev multipliers : with applications to differential and integral operators

Resource Information

The work Theory of Sobolev multipliers : with applications to differential and integral operators represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Theory of Sobolev multipliers : with applications to differential and integral operators

Title remainder

with applications to differential and integral operators

Statement of responsibility

Vladimir G. Maz'ya, Tatyana O. Shaposhnikova

Title variation

Sobolev multipliers

Creator

• Mazʹi︠a︡, V. G

Contributor

• Shaposhnikova, T. O

Subject

• Differential operators
• Differential operators
• Integral operators
• Integral operators
• Integral operators
• MATHEMATICS -- Functional Analysis
• Multiplicateurs (Analyse mathématique)
• Multipliers (Mathematical analysis)
• Multipliers (Mathematical analysis)
• Multipliers (Mathematical analysis)
• Opérateurs différentiels
• Opérateurs intégraux
• Sobolev spaces
• Sobolev spaces
• Sobolev spaces
• Sobolev, Espaces de
• Differential operators

Language

eng

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

Member of

• Grundlehren der mathematischen Wissenschaften, 337

Cataloging source

GW5XE

Dewey number

515/.7

Illustrations

illustrations

Index

index present

LC call number

QA323

LC item number

.M392 2009eb

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

• Grundlehren der mathematischen Wissenschaften =
• Comprehensive studies in mathematics,

Series volume

337