Coverart for item
The Resource Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson

Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson

Label
Nonlinear potential theory and weighted Sobolev spaces
Title
Nonlinear potential theory and weighted Sobolev spaces
Statement of responsibility
Bengt Ove Turesson
Creator
Subject
Language
eng
Summary
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincar inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincar inequalities, and spectral synthesis theorems
Member of
Cataloging source
COO
http://library.link/vocab/creatorDate
1961-
http://library.link/vocab/creatorName
Turesson, Bengt Ove
Dewey number
  • 510 s
  • 515/.9
Index
index present
Language note
English
LC call number
  • QA3
  • QA404.7
LC item number
.L28 no. 1736
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1736
http://library.link/vocab/subjectName
  • Potential theory (Mathematics)
  • Nonlinear theories
  • Sobolev spaces
  • Nonlinear theories
  • Potential theory (Mathematics)
  • Sobolev spaces
  • Potentiaaltheorie
  • Niet-lineaire analyse
  • Sobolev ruimten
  • Teoria do potencial
  • Espacos (analise funcional)
Label
Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 163-170) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Preliminaries: Notation and conventions. Basic results concerning weights -- Sobolev spaces: The Sobolev space $Ŵ(mp) w (/Omega)$. The Sobolev space $Ŵ(mp) w (/Omega)$. Hausdorff measures. Isoperimetric inequalities. Some Sobolev type inequalities. Embeddings into Lq̂ () -- Potential theory: Norm inequalities for fractional integrals and maximal functions. Meyers' Theory for Lp-capacities. Bessel and Riesz capacities. Hausdorff capacities. Variational capacities. Thinness: The case 1<p
Control code
162126578
Dimensions
unknown
Extent
1 online resource (xiv, 173 pages).
Form of item
online
Isbn
9783540451686
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0103908
Specific material designation
remote
System control number
(OCoLC)162126578
Label
Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson
Publication
Bibliography note
Includes bibliographical references (pages 163-170) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Preliminaries: Notation and conventions. Basic results concerning weights -- Sobolev spaces: The Sobolev space $Ŵ(mp) w (/Omega)$. The Sobolev space $Ŵ(mp) w (/Omega)$. Hausdorff measures. Isoperimetric inequalities. Some Sobolev type inequalities. Embeddings into Lq̂ () -- Potential theory: Norm inequalities for fractional integrals and maximal functions. Meyers' Theory for Lp-capacities. Bessel and Riesz capacities. Hausdorff capacities. Variational capacities. Thinness: The case 1<p
Control code
162126578
Dimensions
unknown
Extent
1 online resource (xiv, 173 pages).
Form of item
online
Isbn
9783540451686
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0103908
Specific material designation
remote
System control number
(OCoLC)162126578

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