Young measures and compactness in measure spaces:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
De Gruyter
2012
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XII, 339 S. |
| ISBN: | 9783110276404 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1805146881980891136 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
PREFACE VII
1 WEAK COMPACTNESS IN MEASURE SPACES 1
1.1 MEASURE SPACES 1
1.2 RADON-NIKODYM THEOREM. THE DUAL O F L 1 2 8
1.3 CONVERGENCES IN L 1 (A) AND C A { A ) 38
1.4 WEAK COMPACTNESS IN CA(A ) AND L 1 (A) 47
1.5 THE BIDUAL O F L L ( X ) . 53
1.6 EXTENSIONS O F DUNFORD-PETTIS'THEOREM 64
2 BOUNDED MEASURES ON TOPOLOGICAL SPACES 90
2.1 REGULAR MEASURES 90
2.2 POLISH SPACES. SUSLIN SPACES 95
2.3 NARROW TOPOLOGY 105
2.4 COMPACTNESS RESULTS 128
2.5 METRICS ON THE SPACE ( R C A + ( ^ B R ) , T) 136
2.5.1 DUDLEY'S METRIC 136
2.5.2 LEVY-PROHOROV'S METRIC 142
2.6 WIENER MEASURE 148
3 YOUNG MEASURES 175
3.1 PRELIMINARIES 176
3.1.1 DISINTEGRATION 177
3.1.2 INTEGRANDS 185
3.2 DEFINITIONS AND EXAMPLES 187
3.2.1 YOUNG MEASURE ASSOCIATED TO A PROBABILITY 189
3.2.2 YOUNG MEASURE ASSOCIATED TO A MEASURABLE MAPPING . . . 191
3.3 THE STABLE TOPOLOGY 193
3.4 THE SUBSPACE M ( S ) C V ( S ) 208
3.5 COMPACTNESS 222
HTTP://D-NB.INFO/1018442146
IMAGE 2
XII CONTENTS
3.6 BITING LEMMA 236
3.7 PRODUCT O F YOUNG MEASURES 253
3.7.1 FIBER PRODUCT 253
3.7.2 TENSOR PRODUCT 257
3.8 JORDAN FINITE TIGHT SETS 261
3.9 STRONG COMPACTNESS IN L P ( F X , E ) 271
3.9.1 VISINTIN-BALDER'S THEOREM 271
3.9.2 ROSSI-SAVARE'S THEOREM 274
3.10 GRADIENT YOUNG MEASURES 288
3.10.1 YOUNG MEASURES GENERATED BY SEQUENCES 289
3.10.2 QUASICONVEX FUNCTIONS 296
3.10.3 LOWER SEMICONTINUITY 310
3.11 RELAXED SOLUTIONS IN VARIATIONAL CALCULUS 314
BIBLIOGRAPHY 325
INDEX 336 |
| any_adam_object | 1 |
| author | Florescu, Liviu C. Godet-Thobie, Christiane |
| author_facet | Florescu, Liviu C. Godet-Thobie, Christiane |
| author_role | aut aut |
| author_sort | Florescu, Liviu C. |
| author_variant | l c f lc lcf c g t cgt |
| building | Verbundindex |
| bvnumber | BV040272055 |
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| dewey-full | 515.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.42 |
| dewey-search | 515.42 |
| dewey-sort | 3515.42 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| institution | BVB |
| isbn | 9783110276404 |
| language | English |
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| physical | XII, 339 S. |
| publishDate | 2012 |
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| publisher | De Gruyter |
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| spelling | Florescu, Liviu C. Verfasser aut Young measures and compactness in measure spaces Liviu C. Florescu ; Christiane Godet-Thobie Berlin [u.a.] De Gruyter 2012 XII, 339 S. txt rdacontent n rdamedia nc rdacarrier Kompaktheit (DE-588)4456100-3 gnd rswk-swf Young-Maß (DE-588)4513824-2 gnd rswk-swf Maßraum (DE-588)4169057-6 gnd rswk-swf Maßraum (DE-588)4169057-6 s Kompaktheit (DE-588)4456100-3 s Young-Maß (DE-588)4513824-2 s DE-604 Godet-Thobie, Christiane Verfasser aut Erscheint auch als Online-Ausgabe 978-3-11-028051-7 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3950922&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025127616&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Florescu, Liviu C. Godet-Thobie, Christiane Young measures and compactness in measure spaces Kompaktheit (DE-588)4456100-3 gnd Young-Maß (DE-588)4513824-2 gnd Maßraum (DE-588)4169057-6 gnd |
| subject_GND | (DE-588)4456100-3 (DE-588)4513824-2 (DE-588)4169057-6 |
| title | Young measures and compactness in measure spaces |
| title_auth | Young measures and compactness in measure spaces |
| title_exact_search | Young measures and compactness in measure spaces |
| title_full | Young measures and compactness in measure spaces Liviu C. Florescu ; Christiane Godet-Thobie |
| title_fullStr | Young measures and compactness in measure spaces Liviu C. Florescu ; Christiane Godet-Thobie |
| title_full_unstemmed | Young measures and compactness in measure spaces Liviu C. Florescu ; Christiane Godet-Thobie |
| title_short | Young measures and compactness in measure spaces |
| title_sort | young measures and compactness in measure spaces |
| topic | Kompaktheit (DE-588)4456100-3 gnd Young-Maß (DE-588)4513824-2 gnd Maßraum (DE-588)4169057-6 gnd |
| topic_facet | Kompaktheit Young-Maß Maßraum |
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