Function spaces with dominating mixed smoothness:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Zürich
European Mathematical Society
[2019]
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| Schriftenreihe: | EMS series of lectures in mathmatics
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | viii, 202 Seiten |
| ISBN: | 9783037191958 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Contents Preface....................................................................................................................... 1 v Spaces on R ................................................................................................... 1 1.1 Definitions and basic assertions........................................................... 1 1.1.1 Basic notation and isotropic spaces ..................................... 1 1.1.2 Spaces with dominating mixed smoothness........................ 4 1.1.3 Atoms..................................................................................... 8 1.1.4 Wavelets ............................................................................... 12 1.1.5 Complements......................................................................... 16 1.2 Properties, I........................................................................................ 21 1.2.1 Introduction............................................................................ 21 1.2.2 Distinguished spaces............................................................. 21 1.2.3 Homogeneity......................................................................... 28 1.2.4 Non-smooth atoms................................................................ 31 1.2.5 Pointwise multipliers and localizations .............................. 35 1.2.6 Pointwise multipliers: General assertions........................... 40 1.2.7 Local embeddings and isomorphic structure......................... 45 1.3 Intermezzo: Key
problems................................................................ 53 1.3.1 Fourier multipliers................................................................ 54 1.3.2 Embeddings ......................................................................... 55 1.3.3 Traces..................................................................................... 57 1.3.4 Dichotomy............................................................................ 62 1.3.5 Atoms, wavelets, pointwise multipliers ............................... 64 1.3.6 Fatou property...................................................................... 64 1.3.7 Extensions............................................................................ 65 1.3.8 Diffeomorphisms................................................................... 66 1.3.9 Résumé.................................................................................. 69 1.4 Properties, II ....................................................................................... 69 1.4.1 Pointwise multipliers: Special assertions ........................... 69 1.4.2 Multiplication algebras.......................................................... 77 1.4.3 Pointwise multipliers, revisited.............................................. 83 1.4.4 Holder inequalities................................................................ 87 1.4.5 Caloric wavelets and smoothing........................................... 94 1.4.6 Thermic characterizations.................................................... 97 1.4.7 Tempered homogeneous spaces with negative
smoothness . 102 1.4.8 Thermic characterizations, revisited.........................................108
viii Contents 1.4.9 Tempered homogeneous spaces with positive smoothness . . 112 1.4.10 Tempered homogeneous spaces with general smoothness . . 119 2 Spaces on domains............................................................................................123 2.1 Introduction........................................................................................ 123 2.2 Localization spaces................................................................................ 125 2.2.1 Definitions and basic properties...............................................125 2.2.2 Wavelet frames.......................................................................... 127 2.3 Refined localization spaces.................................................................... 134 2.3.1 Preliminaries......................................................................... 134 2.3.2 Sobolev spaces...................................................................... 135 2.3.3 Besov spaces............................................................................. 138 2.4 Spaces on smooth domains.............................................................. 141 2.4.1 Motivations and preliminaries.............................................. 141 2.4.2 Spaces with boundary data........................................................150 2.5 Further properties............................................................................... 156 2.5.1 Faber frames......................................................................... 156 2.5.2 Haar
frames............................................................................ 166 2.5.3 Further comments and some embeddings........................... 171 2.5.4 Numerical integration: An example..................................... 173 2.5.5 Discrepancy................................................................................ 179 Bibliography........................................................................................................... 185 Symbols...................................................................................................................197 Index 201
|
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| discipline | Mathematik |
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| id | DE-604.BV045246078 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:12:41Z |
| institution | BVB |
| isbn | 9783037191958 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030634183 |
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| physical | viii, 202 Seiten |
| publishDate | 2019 |
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| publisher | European Mathematical Society |
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| series2 | EMS series of lectures in mathmatics |
| spelling | Triebel, Hans 1936- (DE-588)133515923 aut Function spaces with dominating mixed smoothness Hans Triebel Zürich European Mathematical Society [2019] © 2019 viii, 202 Seiten txt rdacontent n rdamedia nc rdacarrier EMS series of lectures in mathmatics Funktionenraum (DE-588)4134834-5 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030634183&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Triebel, Hans 1936- Function spaces with dominating mixed smoothness Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4134834-5 |
| title | Function spaces with dominating mixed smoothness |
| title_auth | Function spaces with dominating mixed smoothness |
| title_exact_search | Function spaces with dominating mixed smoothness |
| title_full | Function spaces with dominating mixed smoothness Hans Triebel |
| title_fullStr | Function spaces with dominating mixed smoothness Hans Triebel |
| title_full_unstemmed | Function spaces with dominating mixed smoothness Hans Triebel |
| title_short | Function spaces with dominating mixed smoothness |
| title_sort | function spaces with dominating mixed smoothness |
| topic | Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030634183&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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