Hardy-type inequalities:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman Scientific & Technical
1990
|
| Series: | Pitman research notes in mathematics series
219 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 333 S. graph. Darst. |
| ISBN: | 0470215844 0582051983 |
Staff View
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| 245 | 1 | 0 | |a Hardy-type inequalities |c B. Opic and A. Kufner |
| 264 | 1 | |a Harlow, Essex |b Longman Scientific & Technical |c 1990 | |
| 300 | |a 333 S. |b graph. Darst. | ||
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| 490 | 1 | |a Pitman research notes in mathematics series |v 219 | |
| 650 | 7 | |a Inégalité Hardy |2 Jussieu | |
| 650 | 7 | |a Inégalité différentielle |2 Jussieu | |
| 650 | 7 | |a Inégalités (mathématiques) |2 ram | |
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Record in the Search Index
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| adam_text |
Contents
Introduction 1
Chapter 1. The one-dimensional Hardy inequality 5
1. Formulation of the problem 5
2. Historical remarks 14
3. Proofs of Theorems 1.14 and 1.15 21
4. The method of differential equations 35
5. The limit values of the exponents p , q 45
6. Functions vanishing at the right endpoint. Examples 65
7. Compactness of the operators H and H 73
L K
8. The Hardy inequality for functions from ACTn(a,b) 92
9. The Hardy inequality for 0 q 1 129
10. Higher order derivatives 142
11. Some remarks 161
Chapter 2. The N-dimensional Hardy inequality 170
12. Introduction 170
13. Some elementary methods 186
14. The approach via differential equations and formulas 204
15. The Hardy inequality and the class A 226
16. Some special results 235
Chapter 3. Imbedding theorems for weighted Sobolev spaces 243
17. Some general necessary and sufficient conditions 243
18. Imbeddings for the case 1 S p £ q °° 249
19. Power type weights 269
20. Unbounded domains 287
21. The N-dimensional Hardy inequality 304
Appendix 315
22. Level intervals and level functions 315
References 327 |
| any_adam_object | 1 |
| author | Opic, B. Kufner, Alois |
| author_facet | Opic, B. Kufner, Alois |
| author_role | aut aut |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 490 |
| ctrlnum | (OCoLC)246851766 (DE-599)BVBBV007680455 |
| dewey-full | 512.9/7 515.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 515 - Analysis |
| dewey-raw | 512.9/7 515.3/6 |
| dewey-search | 512.9/7 515.3/6 |
| dewey-sort | 3512.9 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2025-03-31T20:02:30Z |
| institution | BVB |
| isbn | 0470215844 0582051983 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005038772 |
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| physical | 333 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Opic, B. Verfasser aut Hardy-type inequalities B. Opic and A. Kufner Harlow, Essex Longman Scientific & Technical 1990 333 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 219 Inégalité Hardy Jussieu Inégalité différentielle Jussieu Inégalités (mathématiques) ram Inequalities (Mathematics) Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Hardy-Ungleichung (DE-588)4242580-3 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Ungleichung (DE-588)4139098-2 s Funktionalanalysis (DE-588)4018916-8 s DE-604 Hardy-Ungleichung (DE-588)4242580-3 s Kufner, Alois Verfasser aut Pitman research notes in mathematics series 219 (DE-604)BV000022845 219 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005038772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Opic, B. Kufner, Alois Hardy-type inequalities Pitman research notes in mathematics series Inégalité Hardy Jussieu Inégalité différentielle Jussieu Inégalités (mathématiques) ram Inequalities (Mathematics) Funktionalanalysis (DE-588)4018916-8 gnd Hardy-Ungleichung (DE-588)4242580-3 gnd Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4242580-3 (DE-588)4139098-2 |
| title | Hardy-type inequalities |
| title_auth | Hardy-type inequalities |
| title_exact_search | Hardy-type inequalities |
| title_full | Hardy-type inequalities B. Opic and A. Kufner |
| title_fullStr | Hardy-type inequalities B. Opic and A. Kufner |
| title_full_unstemmed | Hardy-type inequalities B. Opic and A. Kufner |
| title_short | Hardy-type inequalities |
| title_sort | hardy type inequalities |
| topic | Inégalité Hardy Jussieu Inégalité différentielle Jussieu Inégalités (mathématiques) ram Inequalities (Mathematics) Funktionalanalysis (DE-588)4018916-8 gnd Hardy-Ungleichung (DE-588)4242580-3 gnd Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Inégalité Hardy Inégalité différentielle Inégalités (mathématiques) Inequalities (Mathematics) Funktionalanalysis Hardy-Ungleichung Ungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005038772&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
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