Hardy-type inequalities:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Harlow, Essex
Longman Scientific & Technical
1990
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Schriftenreihe: | Pitman research notes in mathematics series
219 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 333 S. graph. Darst. |
ISBN: | 0470215844 0582051983 |
Internformat
MARC
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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. | ||
336 | |b txt |2 rdacontent | ||
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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 | |
650 | 4 | |a Inequalities (Mathematics) | |
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650 | 0 | 7 | |a Hardy-Ungleichung |0 (DE-588)4242580-3 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Ungleichung |0 (DE-588)4139098-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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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 |
author_sort | Opic, B. |
author_variant | b o bo a k ak |
building | Verbundindex |
bvnumber | BV007680455 |
callnumber-first | Q - Science |
callnumber-label | QA295 |
callnumber-raw | QA295 |
callnumber-search | QA295 |
callnumber-sort | QA 3295 |
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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id | DE-604.BV007680455 |
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 |
oclc_num | 246851766 |
open_access_boolean | |
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owner_facet | DE-355 DE-BY-UBR DE-12 DE-384 DE-703 DE-739 DE-19 DE-BY-UBM DE-11 DE-634 DE-188 |
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 |
work_keys_str_mv | AT opicb hardytypeinequalities AT kufneralois hardytypeinequalities |