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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorDate
1961-
http://library.link/vocab/creatorName
Turesson, Bengt Ove
Index
index present
LC call number
QA3
LC item number
.L28 no. 1736
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
1736
http://library.link/vocab/subjectName
  • Potential theory (Mathematics)
  • Nonlinear theories
  • Sobolev spaces
  • Potentiel, Théorie du
  • Théories non linéaires
  • Sobolev, Espaces de
  • Nonlinear theories
  • Potential theory (Mathematics)
  • Sobolev spaces
  • Potentiaaltheorie
  • Niet-lineaire analyse
  • Sobolev ruimten
  • Teoria do potencial
  • Espacos (analise funcional)
  • Théories non linéaires
  • Sobolev, Espaces de
  • Potentiel, Théorie du
  • Gewichteter Sobolev-Raum
  • Nichtlineare Potenzialtheorie
Label
Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. [163]-170) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Preliminaries -- 1.1. Notation and conventions -- 1.2. Basic results concerning weights -- 2. Sobolev spaces -- 2.1. The Sobolev space W[actual symbol not reproducible]([Omega]) -- 2.2. The Sobolev space V[actual symbol not reproducible]([Omega]) -- 2.3. Hausdorff measures -- 2.4. Isoperimetric inequalities -- 2.5. Some Sobolev type inequalities -- 2.6. Embeddings into L[actual symbol not reproducible]([Omega]) -- 3. Potential theory -- 3.1. Norm inequalities for fractional integrals and maximal functions -- 3.2. Meyers' theory for L[superscript p]-capacities -- 3.3. Bessel and Riesz capacities -- 3.4. Hausdorff capacities -- 3.5. Variational capacities -- 3.6. Thinness: The case 1 < p < [infinity] -- 3.7. Thinness: The case p = 1 -- 4. Applications of potential theory to Sobolev spaces -- 4.1. Quasicontinuity -- 4.2. Measures in the dual of W[actual symbol not reproducible]([Omega]) -- 4.3. Poincare type inequalities -- 4.4. Spectral synthesis
Dimensions
24 cm.
Extent
xiv, 173 pages
Isbn
9783540675884
Lccn
00040015
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)44084163
  • (OCoLC)ocm44084163
Label
Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson
Publication
Bibliography note
Includes bibliographical references (p. [163]-170) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Preliminaries -- 1.1. Notation and conventions -- 1.2. Basic results concerning weights -- 2. Sobolev spaces -- 2.1. The Sobolev space W[actual symbol not reproducible]([Omega]) -- 2.2. The Sobolev space V[actual symbol not reproducible]([Omega]) -- 2.3. Hausdorff measures -- 2.4. Isoperimetric inequalities -- 2.5. Some Sobolev type inequalities -- 2.6. Embeddings into L[actual symbol not reproducible]([Omega]) -- 3. Potential theory -- 3.1. Norm inequalities for fractional integrals and maximal functions -- 3.2. Meyers' theory for L[superscript p]-capacities -- 3.3. Bessel and Riesz capacities -- 3.4. Hausdorff capacities -- 3.5. Variational capacities -- 3.6. Thinness: The case 1 < p < [infinity] -- 3.7. Thinness: The case p = 1 -- 4. Applications of potential theory to Sobolev spaces -- 4.1. Quasicontinuity -- 4.2. Measures in the dual of W[actual symbol not reproducible]([Omega]) -- 4.3. Poincare type inequalities -- 4.4. Spectral synthesis
Dimensions
24 cm.
Extent
xiv, 173 pages
Isbn
9783540675884
Lccn
00040015
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
  • (OCoLC)44084163
  • (OCoLC)ocm44084163

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