Optimal Sobolev embeddings:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bonn
Univ.
2002
|
| Series: | Vorlesungsreihe / Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 256 Nichtlineare Partielle Differentialgleichungen
43 |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Rudolph-Lipschitz-Vorlesung |
| Physical Description: | X, 144 S. |
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| 490 | 1 | |a Vorlesungsreihe / Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 256 Nichtlineare Partielle Differentialgleichungen |v 43 | |
| 500 | |a Rudolph-Lipschitz-Vorlesung | ||
| 810 | 2 | |a Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 256 Nichtlineare Partielle Differentialgleichungen |t Vorlesungsreihe |v 43 |w (DE-604)BV005631830 |9 43 | |
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Record in the Search Index
| _version_ | 1807504036027432960 |
|---|---|
| adam_text |
CONTENTS
FOREWORD
V
PREFACE
VII
CHAPTER
1.
FUNCTION
SPACES
1
NOTATION
1
BANACH
FUNCTION
SPACES
1
LEBESGUE
SPACES
3
HARDY
INEQUALITIES
3
ORLICZ
SPACES
4
REARRANGEMENT-INVARIANT
SPACES
5
FUNDAMENTAL
FUNCTION
7
LORENTZ
AND
MARCINKIEWICZ
ENDPOINT
SPACES
8
LORENTZ
SPACES
8
LORENTZ-ZYGMUND
SPACES
9
SLOWLY-VARYING
FUNCTIONS
10
LORENTZ-KARAMATA
SPACES
11
CLASSICAL
LORENTZ
SPACES
11
QUASINORMS
ON
(0,1)
12
/^-FUNCTIONAL
16
RIESZ
POTENTIAL
17
SOBOLEV
SPACES
18
POINCARE
AND
POLYA-SZEGB
INEQUALITIES
19
NOTES
TO
CHAPTER
1
22
CHAPTER
2.
SOBOLEV
INEQUALITIES
23
ELEMENTARY
PROOF
OF
SHARP
SOBOLEV
INEQUALITIES
23
NEW
FUNCTION
SPACE
26
SOBOLEV
EMBEDDINGS
28
NOTES
TO
CHAPTER
2
30
CHAPTER
3.
REDUCED
SOBOLEV
EMBEDDINGS
FOR
QUASINORMS
31
SOBOLEV
INEQUALITIES
FOR
QUASINORMS
31
REDUCTION
TO
HARDY
OPERATORS
31
OPTIMAL
DOMAIN
AND
OPTIMAL
RANGE
39
EXAMPLES
43
NOTES
TO
CHAPTER
3
44
CHAPTER
4.
SOBOLEV
EMBEDDINGS
FOR
ORLICZ
SPACES
45
OPTIMAL
ORLICZ
RANGE
45
OPTIMAL
ORLICZ
DOMAIN
-
LIMITING
CASE
46
OPTIMAL
ORLICZ
DOMAIN
-
SUBLIMITING
CASE
51
IV
CONTENTS
NOTES
TO
CHAPTER
4
54
CHAPTER
5.
OPTIMAL
PAIRS
OF
LORENTZ-KARAMATA
QUASINORMS
55
OPTIMAL
PAIRS
OF
LORENTZ-KARAMATA
QUASINORMS
55
EXAMPLES
66
OPTIMAL
DOMAIN
IN
LIMITING
CASE
68
NOTES
TO
CHAPTER
5
72
CHAPTER
6.
FULL
SOBOLEV
EMBEDDINGS
FOR
REARRANGEMENT-INVARIANT
NORMS
73
INTRODUCTION
73
GENERAL
REDUCTION
THEOREM
75
OPTIMAL
RANGE
81
OPTIMAL
DOMAIN
86
EXAMPLES
97
OPERATOR-INDUCED
NORMS
108
NOTES
TO
CHAPTER
6
112
CHAPTER
7.
SOBOLEV
EMBEDDINGS
INTO
CAMPANATO,
MORREY
AND
HOLDER
SPACES
115
GENERALIZED
CAMPANATO,
MORREY
AND
HOLDER
SPACES
115
SOBOLEV
EMBEDDINGS
INTO
CAMPANATO
SPACES
116
SOBOLEV
EMBEDDINGS
INTO
MORREY
SPACES
119
SOBOLEV
EMBEDDINGS
INTO
HOLDER
SPACES
125
RELATIONS
BETWEEN
CAMPANATO,
MORREY
AND
HOLDER
SPACES
127
EXAMPLES
130
SOBOLEV
EMBEDDINGS
INTO
BMO
AND
VMO
133
NOTES
TO
CHAPTER
7
136
BIBLIOGRAPHY
137
INDEX
143 |
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| id | DE-604.BV016476538 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-16T01:02:55Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010186292 |
| oclc_num | 52684708 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-706 |
| owner_facet | DE-19 DE-BY-UBM DE-706 |
| physical | X, 144 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Univ. |
| record_format | marc |
| series2 | Vorlesungsreihe / Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 256 Nichtlineare Partielle Differentialgleichungen |
| spelling | Pick, Luboš 1961- Verfasser (DE-588)1030139873 aut Optimal Sobolev embeddings Luboš Pick Bonn Univ. 2002 X, 144 S. txt rdacontent n rdamedia nc rdacarrier Vorlesungsreihe / Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 256 Nichtlineare Partielle Differentialgleichungen 43 Rudolph-Lipschitz-Vorlesung Rheinische Friedrich-Wilhelms-Universität Bonn, Sonderforschungsbereich 256 Nichtlineare Partielle Differentialgleichungen Vorlesungsreihe 43 (DE-604)BV005631830 43 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010186292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pick, Luboš 1961- Optimal Sobolev embeddings |
| title | Optimal Sobolev embeddings |
| title_auth | Optimal Sobolev embeddings |
| title_exact_search | Optimal Sobolev embeddings |
| title_full | Optimal Sobolev embeddings Luboš Pick |
| title_fullStr | Optimal Sobolev embeddings Luboš Pick |
| title_full_unstemmed | Optimal Sobolev embeddings Luboš Pick |
| title_short | Optimal Sobolev embeddings |
| title_sort | optimal sobolev embeddings |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010186292&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005631830 |
| work_keys_str_mv | AT picklubos optimalsobolevembeddings |