Singular integrals and related topics:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
2007
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references (p. 261-269) and index |
| Physical Description: | VIII, 272 S. 24 cm |
| ISBN: | 9812706232 9789812706232 |
Staff View
MARC
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| 100 | 1 | |a Lu, Shanzhen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Singular integrals and related topics |c Shanzhen Lu ; Yong Ding ; Dunyan Yan |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 2007 | |
| 300 | |a VIII, 272 S. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references (p. 261-269) and index | ||
| 650 | 4 | |a Singular integrals | |
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Operator theory | |
| 650 | 0 | 7 | |a Singulärer Integraloperator |0 (DE-588)4131249-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Singuläres Integral |0 (DE-588)4181533-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Singuläres Integral |0 (DE-588)4181533-6 |D s |
| 689 | 0 | 1 | |a Singulärer Integraloperator |0 (DE-588)4131249-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Ding, Yong |e Verfasser |4 aut | |
| 700 | 1 | |a Yan, Dunyan |e Verfasser |0 (DE-588)1044999047 |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016366444&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Record in the Search Index
| _version_ | 1804137446728794112 |
|---|---|
| adam_text | Contents
Preface
v
1
Hardy-Littlewood Maximal Operator
1
1.1 Hardy-Littlewood maximal
operator
.............. 1
1.2
Calderón-Zygmund
decomposition
............... 9
1.3
Marcinkiewicz interpolation theorem
.............. 15
1.4
Weighted norm inequalities
................... 21
1.5
Notes and references
....................... 35
2
Singular Integral Operators
37
2.1
Calderón-Zygmund
singular integral operators
......... 40
2.2
Singular integral operators with homogeneous kernels
..... 78
2.3
Singular integral operators with rough kernels
......... 92
2.4
Commutators of singular integral operators
..........119
2.5
Notes and references
.......................131
3
Fractional Integral Operators
133
3.1
Riesz potential
..........................134
3.2
Weighted boundedness of Riesz potential
............137
3.3
Fractional integral operator with homogeneous kernels
.... 144
3.4
Weighted boundedness of
ΓΩ,α
.................148
3.5
Commutators of Riesz potential
.................158
3.6
Commutators of fractional integrals with rough kernels
.... 162
3.7
Notes and references
.......................166
4
Oscillatory Singular Integrals
169
4.1
Oscillatory singular integrals with homogeneous smooth kernels
169
4.2
Oscillatory singular integrals with rough kernels
........186
4.3
Oscillatory singular integrals with standard kernels
......197
4.4
Multilinear oscillatory singular integrals with rough kernels
. 202
vii
viii CONTENTS
4.5
Multilinear oscillatory singular integrals with standard kernels
213
4.6
Notes and references
.......................230
5
Littlewood-Paley Operator
233
5.1
Littlewood-Paley
g
function
...................234
5.2
Weighted Littlewood-Paley theory
...............241
5.3
Littlewood-Paley
g
function with rough kernel
.........247
5.4
Notes and references
.......................259
Bibliography
261
Index
271
|
| adam_txt |
Contents
Preface
v
1
Hardy-Littlewood Maximal Operator
1
1.1 Hardy-Littlewood maximal
operator
. 1
1.2
Calderón-Zygmund
decomposition
. 9
1.3
Marcinkiewicz interpolation theorem
. 15
1.4
Weighted norm inequalities
. 21
1.5
Notes and references
. 35
2
Singular Integral Operators
37
2.1
Calderón-Zygmund
singular integral operators
. 40
2.2
Singular integral operators with homogeneous kernels
. 78
2.3
Singular integral operators with rough kernels
. 92
2.4
Commutators of singular integral operators
.119
2.5
Notes and references
.131
3
Fractional Integral Operators
133
3.1
Riesz potential
.134
3.2
Weighted boundedness of Riesz potential
.137
3.3
Fractional integral operator with homogeneous kernels
. 144
3.4
Weighted boundedness of
ΓΩ,α
.148
3.5
Commutators of Riesz potential
.158
3.6
Commutators of fractional integrals with rough kernels
. 162
3.7
Notes and references
.166
4
Oscillatory Singular Integrals
169
4.1
Oscillatory singular integrals with homogeneous smooth kernels
169
4.2
Oscillatory singular integrals with rough kernels
.186
4.3
Oscillatory singular integrals with standard kernels
.197
4.4
Multilinear oscillatory singular integrals with rough kernels
. 202
vii
viii CONTENTS
4.5
Multilinear oscillatory singular integrals with standard kernels
213
4.6
Notes and references
.230
5
Littlewood-Paley Operator
233
5.1
Littlewood-Paley
g
function
.234
5.2
Weighted Littlewood-Paley theory
.241
5.3
Littlewood-Paley
g
function with rough kernel
.247
5.4
Notes and references
.259
Bibliography
261
Index
271 |
| any_adam_object | 1 |
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| author | Lu, Shanzhen Ding, Yong Yan, Dunyan |
| author_GND | (DE-588)1044999047 |
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| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)141384861 (DE-599)BVBBV023179897 |
| dewey-full | 515/.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.2433 |
| dewey-search | 515/.2433 |
| dewey-sort | 3515 42433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV023179897 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:01:08Z |
| indexdate | 2024-07-09T21:12:26Z |
| institution | BVB |
| isbn | 9812706232 9789812706232 |
| language | English |
| lccn | 2007300255 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016366444 |
| oclc_num | 141384861 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-824 DE-11 DE-384 DE-19 DE-BY-UBM |
| owner_facet | DE-355 DE-BY-UBR DE-824 DE-11 DE-384 DE-19 DE-BY-UBM |
| physical | VIII, 272 S. 24 cm |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Lu, Shanzhen Verfasser aut Singular integrals and related topics Shanzhen Lu ; Yong Ding ; Dunyan Yan Singapore [u.a.] World Scientific 2007 VIII, 272 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references (p. 261-269) and index Singular integrals Harmonic analysis Operator theory Singulärer Integraloperator (DE-588)4131249-1 gnd rswk-swf Singuläres Integral (DE-588)4181533-6 gnd rswk-swf Singuläres Integral (DE-588)4181533-6 s Singulärer Integraloperator (DE-588)4131249-1 s DE-604 Ding, Yong Verfasser aut Yan, Dunyan Verfasser (DE-588)1044999047 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016366444&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lu, Shanzhen Ding, Yong Yan, Dunyan Singular integrals and related topics Singular integrals Harmonic analysis Operator theory Singulärer Integraloperator (DE-588)4131249-1 gnd Singuläres Integral (DE-588)4181533-6 gnd |
| subject_GND | (DE-588)4131249-1 (DE-588)4181533-6 |
| title | Singular integrals and related topics |
| title_auth | Singular integrals and related topics |
| title_exact_search | Singular integrals and related topics |
| title_exact_search_txtP | Singular integrals and related topics |
| title_full | Singular integrals and related topics Shanzhen Lu ; Yong Ding ; Dunyan Yan |
| title_fullStr | Singular integrals and related topics Shanzhen Lu ; Yong Ding ; Dunyan Yan |
| title_full_unstemmed | Singular integrals and related topics Shanzhen Lu ; Yong Ding ; Dunyan Yan |
| title_short | Singular integrals and related topics |
| title_sort | singular integrals and related topics |
| topic | Singular integrals Harmonic analysis Operator theory Singulärer Integraloperator (DE-588)4131249-1 gnd Singuläres Integral (DE-588)4181533-6 gnd |
| topic_facet | Singular integrals Harmonic analysis Operator theory Singulärer Integraloperator Singuläres Integral |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016366444&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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