Coverart for item
The Resource Potential theory : selected topics, Hiroaki Aikawa, Matts Essén

Potential theory : selected topics, Hiroaki Aikawa, Matts Essén

Label
Potential theory : selected topics
Title
Potential theory
Title remainder
selected topics
Statement of responsibility
Hiroaki Aikawa, Matts Essén
Creator
Contributor
Subject
Language
eng
Summary
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis
Member of
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1956-
http://library.link/vocab/creatorName
Aikawa, Hiroaki
Dewey number
  • 510 s
  • 515.9
Illustrations
illustrations
Index
index present
Language note
English
LC call number
  • QA3
  • QA404.7
LC item number
.L28 no. 1633
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1932-
http://library.link/vocab/relatedWorkOrContributorName
Essén, Matts R.
Series statement
Lecture notes in mathematics,
Series volume
1633
http://library.link/vocab/subjectName
  • Potential theory (Mathematics)
  • Potential theory (Mathematics)
  • Potentiaaltheorie
  • Analise matematica
  • Potentiel, Théorie du
Label
Potential theory : selected topics, Hiroaki Aikawa, Matts Essén
Instantiates
Publication
Bibliography note
Includes bibliographical references and indexes
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
M. Essen -- 1. Preface -- 2. Introduction -- 3. The Physical background of Potential theory -- 4. Potential theory -- 5. Capacity -- 6. Hausdorff measures and capacities -- 7. Two Extremal Problems -- 8. M. Riesz kernels -- 9. Reduced functions -- 10. Green energy in a Half-space -- 11. Minimal thinness -- 12. Rarefiedness -- 13. A criterion of Wiener type for rarefiedness -- 14. Singular integrals and potential theory -- 15. Minimal thinness, rarefiedness and ordinary capacity -- 16. Quasiadditivity of capacity -- 17. On an estimate of Carleson -- Books on potential theory: a short list -- Analytic capacity (references) / V. Eiderman -- H. Aikawa -- 1. Introduction -- 2. Semicontinuous functions -- 3. L[superscript P] capacity theory -- 4. Capacity of balls -- 5. Capacity under a Lispchitz mapping -- 6. Capacity strong type inequality -- 7. Quasiadditivity of capacity -- 8. Fine limit approach to the Nagel-Stein boundary limit theorem
Control code
298705395
Dimensions
unknown
Extent
1 online resource (ix, 200 pages)
Form of item
online
Isbn
9783540699910
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0093410.
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298705395
Label
Potential theory : selected topics, Hiroaki Aikawa, Matts Essén
Publication
Bibliography note
Includes bibliographical references and indexes
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
M. Essen -- 1. Preface -- 2. Introduction -- 3. The Physical background of Potential theory -- 4. Potential theory -- 5. Capacity -- 6. Hausdorff measures and capacities -- 7. Two Extremal Problems -- 8. M. Riesz kernels -- 9. Reduced functions -- 10. Green energy in a Half-space -- 11. Minimal thinness -- 12. Rarefiedness -- 13. A criterion of Wiener type for rarefiedness -- 14. Singular integrals and potential theory -- 15. Minimal thinness, rarefiedness and ordinary capacity -- 16. Quasiadditivity of capacity -- 17. On an estimate of Carleson -- Books on potential theory: a short list -- Analytic capacity (references) / V. Eiderman -- H. Aikawa -- 1. Introduction -- 2. Semicontinuous functions -- 3. L[superscript P] capacity theory -- 4. Capacity of balls -- 5. Capacity under a Lispchitz mapping -- 6. Capacity strong type inequality -- 7. Quasiadditivity of capacity -- 8. Fine limit approach to the Nagel-Stein boundary limit theorem
Control code
298705395
Dimensions
unknown
Extent
1 online resource (ix, 200 pages)
Form of item
online
Isbn
9783540699910
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/BFb0093410.
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)298705395

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