Sobolev met Poincaré:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2000
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
688 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 145, Number 688 (first of 4 numbers) |
| Physical Description: | IX, 101 S. |
| ISBN: | 0821820478 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Abstract ix
1 Introduction 1
2 What are Poincare and Sobolev inequalities? 7
3 Poincare inequalities, pointwise estimates, and Sobolev classes 11
4 Examples and necessary conditions 16
5 Sobolev type inequalities by means of Riesz potentials 21
6 Trudinger inequality 29
7 A version of the Sobolev embedding theorem on spheres 33
8 Rellich Kondrachov 36
9 Sobolev classes in John domains 38
9.1 John domains 39
9.2 Sobolev type inequalities 43
10 Poincare inequality: examples 46
10.1 Riemannian manifolds 46
10.2 Upper gradients 47
10.3 Topological manifolds 49
10.4 Gluing and related constructions 50
10.5 Further examples 50
11 Carnot—Caratheodory spaces 51
11.1 Carnot Caratheodory metric 51
11.2 Upper gradients and Sobolev spaces 55
11.3 Carnot groups 64
11.4 Hormander condition 69
11.5 Further generalizations 71
12 Graphs 71
vii
viii CONTENTS
13 Applications to P.D.E and nonlinear potential theory 77
13.1 Admissible weights 77
13.2 Sobolev embedding for 0 p 1 81
14 Appendix 83
14.1 Measures 83
14.2 Uniform integrability. 85
14.3 IP and LPW spaces 86
14.4 Covering lemma 87
14.5 Maximal function 87
14.6 Lebesgue differentiation theorem 88
References 89
|
| any_adam_object | 1 |
| author | Hajłasz, Piotr 1966- |
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| author_sort | Hajłasz, Piotr 1966- |
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| building | Verbundindex |
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| callnumber-raw | QA3.A57 no. 688 |
| callnumber-search | QA3.A57 no. 688 |
| callnumber-sort | QA 13 A57 NO 3688 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 464f |
| ctrlnum | (OCoLC)43311750 (DE-599)BVBBV013212521 |
| dewey-full | 510 515/.782 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515/.782 |
| dewey-search | 510 515/.782 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013212521 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:41:45Z |
| institution | BVB |
| isbn | 0821820478 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009001782 |
| oclc_num | 43311750 |
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| physical | IX, 101 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| 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 | Hajłasz, Piotr 1966- Verfasser (DE-588)1146229526 aut Sobolev met Poincaré Piotr Hajłasz ; Pekka Koskela Providence, RI American Math. Soc. 2000 IX, 101 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 688 Volume 145, Number 688 (first of 4 numbers) Analise funcional larpcal Ongelijkheden gtt Sobolev ruimten gtt Inequalities (Mathematics) Sobolev spaces Ungleichung (DE-588)4139098-2 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 s Ungleichung (DE-588)4139098-2 s DE-604 Koskela, Pekka Sonstige (DE-588)1111047790 oth American Mathematical Society: Memoirs of the American Mathematical Society 688 (DE-604)BV008000141 688 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009001782&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hajłasz, Piotr 1966- Sobolev met Poincaré American Mathematical Society: Memoirs of the American Mathematical Society Analise funcional larpcal Ongelijkheden gtt Sobolev ruimten gtt Inequalities (Mathematics) Sobolev spaces Ungleichung (DE-588)4139098-2 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4139098-2 (DE-588)4055345-0 |
| title | Sobolev met Poincaré |
| title_auth | Sobolev met Poincaré |
| title_exact_search | Sobolev met Poincaré |
| title_full | Sobolev met Poincaré Piotr Hajłasz ; Pekka Koskela |
| title_fullStr | Sobolev met Poincaré Piotr Hajłasz ; Pekka Koskela |
| title_full_unstemmed | Sobolev met Poincaré Piotr Hajłasz ; Pekka Koskela |
| title_short | Sobolev met Poincaré |
| title_sort | sobolev met poincare |
| topic | Analise funcional larpcal Ongelijkheden gtt Sobolev ruimten gtt Inequalities (Mathematics) Sobolev spaces Ungleichung (DE-588)4139098-2 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Analise funcional Ongelijkheden Sobolev ruimten Inequalities (Mathematics) Sobolev spaces Ungleichung Sobolev-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009001782&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT hajłaszpiotr sobolevmetpoincare AT koskelapekka sobolevmetpoincare |