The Resource Potential theory : selected topics, Hiroaki Aikawa, Matts Essén
Potential theory : selected topics, Hiroaki Aikawa, Matts Essén
Resource Information
The item Potential theory : selected topics, Hiroaki Aikawa, Matts Essén 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 Potential theory : selected topics, Hiroaki Aikawa, Matts Essén 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 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
- Language
- eng
- Extent
- 1 online resource (ix, 200 pages)
- 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
- Isbn
- 9783540699910
- Label
- Potential theory : selected topics
- Title
- Potential theory
- Title remainder
- selected topics
- Statement of responsibility
- Hiroaki Aikawa, Matts Essén
- 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
- 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
- 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
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Potential-theory--selected-topics-Hiroaki/rgspCwYxxAA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Potential-theory--selected-topics-Hiroaki/rgspCwYxxAA/">Potential theory : selected topics, Hiroaki Aikawa, Matts Essén</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Potential theory : selected topics, Hiroaki Aikawa, Matts Essén
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Potential-theory--selected-topics-Hiroaki/rgspCwYxxAA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Potential-theory--selected-topics-Hiroaki/rgspCwYxxAA/">Potential theory : selected topics, Hiroaki Aikawa, Matts Essén</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
