The Resource Theory of Sobolev multipliers : with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova
Theory of Sobolev multipliers : with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova
Resource Information
The item Theory of Sobolev multipliers : with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Theory of Sobolev multipliers : with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xiii, 609 pages)
 Contents

 pt. 1. Description and properties of multipliers
 pt. 2. Applications of multipliers to differential and integral operators
 Isbn
 9783540694908
 Label
 Theory of Sobolev multipliers : with applications to differential and integral operators
 Title
 Theory of Sobolev multipliers
 Title remainder
 with applications to differential and integral operators
 Statement of responsibility
 Vladimir G. Maz'ya, Tatyana O. Shaposhnikova
 Title variation
 Sobolev multipliers
 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
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Mazʹi︠a︡, V. G
 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
 http://library.link/vocab/relatedWorkOrContributorName
 Shaposhnikova, T. O
 Series statement

 Grundlehren der mathematischen Wissenschaften =
 Comprehensive studies in mathematics,
 Series volume
 337
 http://library.link/vocab/subjectName

 Multipliers (Mathematical analysis)
 Sobolev spaces
 Differential operators
 Integral operators
 Multiplicateurs (Analyse mathématique)
 Sobolev, Espaces de
 Opérateurs différentiels
 Opérateurs intégraux
 MATHEMATICS
 Differential operators
 Integral operators
 Multipliers (Mathematical analysis)
 Sobolev spaces
 Label
 Theory of Sobolev multipliers : with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova
 Bibliography note
 Includes bibliographical references (pages 591603) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 pt. 1. Description and properties of multipliers  pt. 2. Applications of multipliers to differential and integral operators
 Control code
 310352206
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 609 pages)
 Form of item
 online
 Isbn
 9783540694908
 Lccn
 2008932182
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783540694922
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783540694908
 Specific material designation
 remote
 System control number
 (OCoLC)310352206
 Label
 Theory of Sobolev multipliers : with applications to differential and integral operators, Vladimir G. Maz'ya, Tatyana O. Shaposhnikova
 Bibliography note
 Includes bibliographical references (pages 591603) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 pt. 1. Description and properties of multipliers  pt. 2. Applications of multipliers to differential and integral operators
 Control code
 310352206
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 609 pages)
 Form of item
 online
 Isbn
 9783540694908
 Lccn
 2008932182
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783540694922
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9783540694908
 Specific material designation
 remote
 System control number
 (OCoLC)310352206
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
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