Some connections between isoperimetric and Sobolev type inequalities:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1997
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
Number 616 = Vol. 129 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 129, Number 616 (end of volume) |
| Beschreibung: | VIII, 111 S. |
| ISBN: | 0821806424 |
Internformat
MARC
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| 245 | 1 | 0 | |a Some connections between isoperimetric and Sobolev type inequalities |c Serguei G. Bobkov ; Christian Houdré |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1997 | |
| 300 | |a VIII, 111 S. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Table of Contents
Abstract viii
1 Introduction 1
2 Differential and integral forms of isoperimetrie inequalities 19
3 Proof of Theorem 1.1 25
4 A relation between the distribution of a function and its derivative 31
5 A variational problem 34
6 The discrete version of Theorem 5.1 45
7 Proof of Propositions 1.3 and 1.5 59
8 A special case of Theorem 1.2 03
9 The uniform distribution on the sphere (ifi
10 Existence of optimal Orlicz spaces 70
11 Proof of Theorem 1.9 (the case of the sphere) 77
12 Proof of Theorem 1.9 (the Gaussian case) 85
13 The isoperimetrie problem on the real line 87
14 Isoperimetrie and Sobolev type inequalities on the real line 98
15 Extensions of Sobolev type inequalities to product measures on R 10fi
References 109
|
| any_adam_object | 1 |
| author | Bobkov, Sergej G. 1961- Houdré, Christian 1959- |
| author_GND | (DE-588)173145353 (DE-588)121699854 |
| author_facet | Bobkov, Sergej G. 1961- Houdré, Christian 1959- |
| author_role | aut aut |
| author_sort | Bobkov, Sergej G. 1961- |
| author_variant | s g b sg sgb c h ch |
| building | Verbundindex |
| bvnumber | BV011585468 |
| classification_rvk | SI 130 |
| classification_tum | MAT 490f MAT 464f |
| ctrlnum | (OCoLC)246283233 (DE-599)BVBBV011585468 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011585468 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:12:17Z |
| institution | BVB |
| isbn | 0821806424 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007802848 |
| oclc_num | 246283233 |
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| physical | VIII, 111 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Bobkov, Sergej G. 1961- Verfasser (DE-588)173145353 aut Some connections between isoperimetric and Sobolev type inequalities Serguei G. Bobkov ; Christian Houdré Providence, RI American Math. Soc. 1997 VIII, 111 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society Number 616 = Vol. 129 Volume 129, Number 616 (end of volume) Geometrische Maßtheorie (DE-588)4125258-5 gnd rswk-swf Isoperimetrische Ungleichung (DE-588)4162544-4 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Gauß-Prozess (DE-588)4156111-9 gnd rswk-swf Sobolevsche Ungleichung (DE-588)4181715-1 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 s Geometrische Maßtheorie (DE-588)4125258-5 s Gauß-Prozess (DE-588)4156111-9 s DE-604 Sobolevsche Ungleichung (DE-588)4181715-1 s Isoperimetrische Ungleichung (DE-588)4162544-4 s Houdré, Christian 1959- Verfasser (DE-588)121699854 aut American Mathematical Society: Memoirs of the American Mathematical Society Number 616 = Vol. 129 (DE-604)BV008000141 616 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007802848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bobkov, Sergej G. 1961- Houdré, Christian 1959- Some connections between isoperimetric and Sobolev type inequalities American Mathematical Society: Memoirs of the American Mathematical Society Geometrische Maßtheorie (DE-588)4125258-5 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd Sobolev-Raum (DE-588)4055345-0 gnd Gauß-Prozess (DE-588)4156111-9 gnd Sobolevsche Ungleichung (DE-588)4181715-1 gnd |
| subject_GND | (DE-588)4125258-5 (DE-588)4162544-4 (DE-588)4055345-0 (DE-588)4156111-9 (DE-588)4181715-1 |
| title | Some connections between isoperimetric and Sobolev type inequalities |
| title_auth | Some connections between isoperimetric and Sobolev type inequalities |
| title_exact_search | Some connections between isoperimetric and Sobolev type inequalities |
| title_full | Some connections between isoperimetric and Sobolev type inequalities Serguei G. Bobkov ; Christian Houdré |
| title_fullStr | Some connections between isoperimetric and Sobolev type inequalities Serguei G. Bobkov ; Christian Houdré |
| title_full_unstemmed | Some connections between isoperimetric and Sobolev type inequalities Serguei G. Bobkov ; Christian Houdré |
| title_short | Some connections between isoperimetric and Sobolev type inequalities |
| title_sort | some connections between isoperimetric and sobolev type inequalities |
| topic | Geometrische Maßtheorie (DE-588)4125258-5 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd Sobolev-Raum (DE-588)4055345-0 gnd Gauß-Prozess (DE-588)4156111-9 gnd Sobolevsche Ungleichung (DE-588)4181715-1 gnd |
| topic_facet | Geometrische Maßtheorie Isoperimetrische Ungleichung Sobolev-Raum Gauß-Prozess Sobolevsche Ungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007802848&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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