Coverart for item
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

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
Creator
Contributor
Subject
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
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 591-603) 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
10.1007/978-3-540-69492-2
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-69490-8
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
Publication
Bibliography note
Includes bibliographical references (pages 591-603) 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
10.1007/978-3-540-69492-2
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-3-540-69490-8
Specific material designation
remote
System control number
(OCoLC)310352206

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      38.944491 -92.326012
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