The blocking technique: weighted mean operators and Hardy's inequality
Gespeichert in:
Beteilige Person: | |
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Format: | Buch |
Sprache: | Deutsch |
Veröffentlicht: |
Berlin [u.a.]
Springer
1998
|
Schriftenreihe: | Lecture notes in mathematics
1679 |
Schlagwörter: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007848475&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | VIII, 114 S. |
ISBN: | 3540639020 |
Internformat
MARC
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245 | 1 | 0 | |a The blocking technique |b weighted mean operators and Hardy's inequality |c Karl-Goswin Grosse-Erdmann |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1998 | |
300 | |a VIII, 114 S. | ||
336 | |b txt |2 rdacontent | ||
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338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Lecture notes in mathematics |v 1679 | |
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-1679 |
---|---|
DE-BY-TUM_katkey | 891681 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040020210106 |
_version_ | 1821931264465174528 |
adam_text | Contents
Introduction 1
I. The Blocking Technique 7
1 Norms in Section Form and Norms in Block Form 7
2 Transformation from Block Form into Section Form 8
3 Transformation from Section Form into Block Form 16
4 Comments 19
II. The Sequence Spaces c(a,p,q) and d(a,p,q) 23
5 The Spaces c and d, and l(p, q) 23
6 Structure of the Spaces c and d 25
7 Multipliers and Duality 30
8 Products and Factorisations 40
III. Applications to Matrix Operators and Inequalities 49
9 Factorable Matrices as Operators on V and Hardy s Inequality . 49
10 Lower Bounds for Factorable Matrices and Copson s Inequality . 57
11 Reverse Hardy Copson Higaki Inequalities 63
12 Reverse Copson Takahashi Inequalities, and a New Inequality . . 66
13 Further Applications 69
IV. Integral Analogues 77
14 Introduction 77
15 The Blocking Technique 79
16 The Function Spaces C(u,p,q), D(u,p, q) and (Lp,/M) 84
17 The Inequalities of Hardy and Copson with Weights 85
18 Further Applications 88
A. Equivalence of Section Conditions with Block Conditions 93
19 The Discrete Case 93
20 The Integral Analogue 98
References 105
Index 111
|
any_adam_object | 1 |
author | Grosse-Erdmann, Karl-Goswin 1959- |
author_GND | (DE-588)111325498 |
author_facet | Grosse-Erdmann, Karl-Goswin 1959- |
author_role | aut |
author_sort | Grosse-Erdmann, Karl-Goswin 1959- |
author_variant | k g g e kgge |
building | Verbundindex |
bvnumber | BV011644738 |
classification_rvk | SI 850 |
classification_tum | MAT 464f |
ctrlnum | (OCoLC)246272415 (DE-599)BVBBV011644738 |
dewey-full | 515.732 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.732 |
dewey-search | 515.732 |
dewey-sort | 3515.732 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV011644738 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T10:16:12Z |
institution | BVB |
isbn | 3540639020 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007848475 |
oclc_num | 246272415 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM DE-824 DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 DE-11 DE-706 DE-83 |
owner_facet | DE-91G DE-BY-TUM DE-824 DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-188 DE-11 DE-706 DE-83 |
physical | VIII, 114 S. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Springer |
record_format | marc |
series | Lecture notes in mathematics |
series2 | Lecture notes in mathematics |
spellingShingle | Grosse-Erdmann, Karl-Goswin 1959- The blocking technique weighted mean operators and Hardy's inequality Lecture notes in mathematics Hardy-Ungleichung (DE-588)4242580-3 gnd Norm Mathematik (DE-588)4172021-0 gnd Funktion (DE-588)4195664-3 gnd Folgenraum (DE-588)4165249-6 gnd |
subject_GND | (DE-588)4242580-3 (DE-588)4172021-0 (DE-588)4195664-3 (DE-588)4165249-6 |
title | The blocking technique weighted mean operators and Hardy's inequality |
title_auth | The blocking technique weighted mean operators and Hardy's inequality |
title_exact_search | The blocking technique weighted mean operators and Hardy's inequality |
title_full | The blocking technique weighted mean operators and Hardy's inequality Karl-Goswin Grosse-Erdmann |
title_fullStr | The blocking technique weighted mean operators and Hardy's inequality Karl-Goswin Grosse-Erdmann |
title_full_unstemmed | The blocking technique weighted mean operators and Hardy's inequality Karl-Goswin Grosse-Erdmann |
title_short | The blocking technique |
title_sort | the blocking technique weighted mean operators and hardy s inequality |
title_sub | weighted mean operators and Hardy's inequality |
topic | Hardy-Ungleichung (DE-588)4242580-3 gnd Norm Mathematik (DE-588)4172021-0 gnd Funktion (DE-588)4195664-3 gnd Folgenraum (DE-588)4165249-6 gnd |
topic_facet | Hardy-Ungleichung Norm Mathematik Funktion Folgenraum |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007848475&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT grosseerdmannkarlgoswin theblockingtechniqueweightedmeanoperatorsandhardysinequality |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
Signatur: |
0102 MAT 001z 2001 B 999-1679
Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |