Theory of Function Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Springer Basel
1983
|
| Schriftenreihe: | Modern Birkhäuser Classics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‑∞<s<∞ and 0<p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rn in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in Rn. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations. ------ Reviews It is written in a concise but well readable style. (…) This book can be best recommended to researchers and advanced students working on functional analysis or functional analytic methods for partial differential operators or equations. - Zentralblatt MATH The noteworthy new items in the book are: the use of maximal functions, treatment of BMO spaces, treatment of Beurling ultradistributions as well as addition of new results, too numerous to mention, obtained within the last 7 years or so. - Mathematical Reviews |
| Beschreibung: | 1 Online-Ressource (IV, 281p) |
| ISBN: | 9783034604161 9783034604154 |
| DOI: | 10.1007/978-3-0346-0416-1 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Triebel, Hans |
| author_facet | Triebel, Hans |
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| author_sort | Triebel, Hans |
| author_variant | h t ht |
| building | Verbundindex |
| bvnumber | BV042421830 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879625188 (DE-599)BVBBV042421830 |
| dewey-full | 50 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 050 - General serial publications |
| dewey-raw | 50 |
| dewey-search | 50 |
| dewey-sort | 250 |
| dewey-tens | 050 - General serial publications |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-0346-0416-1 |
| format | Electronic eBook |
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| id | DE-604.BV042421830 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:09Z |
| institution | BVB |
| isbn | 9783034604161 9783034604154 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857247 |
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| physical | 1 Online-Ressource (IV, 281p) |
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| publisher | Springer Basel |
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| series2 | Modern Birkhäuser Classics |
| spelling | Triebel, Hans Verfasser aut Theory of Function Spaces by Hans Triebel Basel Springer Basel 1983 1 Online-Ressource (IV, 281p) txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser Classics The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‑∞<s<∞ and 0<p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rn in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in Rn. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations. ------ Reviews It is written in a concise but well readable style. (…) This book can be best recommended to researchers and advanced students working on functional analysis or functional analytic methods for partial differential operators or equations. - Zentralblatt MATH The noteworthy new items in the book are: the use of maximal functions, treatment of BMO spaces, treatment of Beurling ultradistributions as well as addition of new results, too numerous to mention, obtained within the last 7 years or so. - Mathematical Reviews Science (General) Science, general Naturwissenschaft Funktionenraum (DE-588)4134834-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s 1\p DE-604 https://doi.org/10.1007/978-3-0346-0416-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Triebel, Hans Theory of Function Spaces Science (General) Science, general Naturwissenschaft Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4134834-5 |
| title | Theory of Function Spaces |
| title_auth | Theory of Function Spaces |
| title_exact_search | Theory of Function Spaces |
| title_full | Theory of Function Spaces by Hans Triebel |
| title_fullStr | Theory of Function Spaces by Hans Triebel |
| title_full_unstemmed | Theory of Function Spaces by Hans Triebel |
| title_short | Theory of Function Spaces |
| title_sort | theory of function spaces |
| topic | Science (General) Science, general Naturwissenschaft Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Science (General) Science, general Naturwissenschaft Funktionenraum |
| url | https://doi.org/10.1007/978-3-0346-0416-1 |
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