Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; Tokyo
Springer-Verlag
1983
|
| Series: | Lecture notes in mathematics
994 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 127 Seiten |
| ISBN: | 354012313X 038712313X |
Staff View
MARC
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| 100 | 1 | |a Journé, Jean-Lin |d 1957-2016 |0 (DE-588)121147433X |4 aut | |
| 245 | 1 | 0 | |a Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Tokyo |b Springer-Verlag |c 1983 | |
| 300 | |a VI, 127 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 994 | |
| 650 | 4 | |a Opérateurs intégraux | |
| 650 | 4 | |a Opérateurs linéaires | |
| 650 | 4 | |a Opérateurs pseudodifférentiels | |
| 650 | 4 | |a Calderón-Zygmund operator | |
| 650 | 4 | |a Integral operators | |
| 650 | 4 | |a Pseudodifferential operators | |
| 650 | 0 | 7 | |a Calderón-Zygmund-Operator |0 (DE-588)4147203-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Cauchy-Integral |0 (DE-588)4511419-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Pseudodifferentialoperator |0 (DE-588)4047640-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Calderón-Zygmund-Operator |0 (DE-588)4147203-2 |D s |
| 689 | 0 | 1 | |a Pseudodifferentialoperator |0 (DE-588)4047640-6 |D s |
| 689 | 0 | 2 | |a Cauchy-Integral |0 (DE-588)4511419-5 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-000138426 | ||
Record in the Search Index
| _version_ | 1804114693770444800 |
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| adam_text | TABLE OF CONTENTS
CHAPTER 0. Preliminaries on l!l (Rn,du) 1
I. Review of some notions of vector valued measurability
and integration j
II. The distribution function 2
III. Rademacher functions and extensions of operators 5
CHAPTER 1. The Hardy Littlewood Maximal Operator 7
I. The centered maximal function with respect to cubes 7
II. The dyadic maximal function 10
III. The connection between results on maximal functions
and results on differentiability and pointwise convergence 12
CHAPTER 2. A Weights 16
I. Pairs of weights 16
II. The case u v A weights 19
CHAPTER 3. BM0(Rn,dx) 29
I. Definition and basic properties 29
II. BMO(Bn) viewed as a dual space 34
1 «
III. Interpolation between H and BMO 40
CHAPTER 4. Calderon Zygmund Operators 46
I. Introduction 46
II. Action of a CZO on H * and L™ 48
III. Action of CZO s on a weighted LP space 52
IV. Singular integral operators 54
V. Some applications of the boundedness of T^ 58
CHAPTER 5. Calderon Zygmund Operators and Pseudo Differential
Operators 64
CHAPTER 6. Calderon Zygmund Operators and Littlewood Paley
Theory 78
I. Introduction 78
II. The Littlewood Paley G and S functions 79
III. The Littlewood Paley G function and Carleson measures 84
IV. The Littlewood Paley dyadic decomposition 88
VI
CHAPTER 7. The Cauchy Kernel on Lipschitz Curves 93
CHAPTER 8. Some Techniques to Generate New Calderon Zygmund
Operators 110
APPENDIX 123
REFERENCES 126
INDEX 128
|
| any_adam_object | 1 |
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| ctrlnum | (OCoLC)9644993 (DE-599)BVBBV000230970 |
| dewey-full | 510 515.7/246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515.7/246 |
| dewey-search | 510 515.7/246 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV000230970 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:47Z |
| institution | BVB |
| isbn | 354012313X 038712313X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000138426 |
| oclc_num | 9644993 |
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| physical | VI, 127 Seiten |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Journé, Jean-Lin 1957-2016 (DE-588)121147433X aut Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón Berlin ; Heidelberg ; New York ; Tokyo Springer-Verlag 1983 VI, 127 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 994 Opérateurs intégraux Opérateurs linéaires Opérateurs pseudodifférentiels Calderón-Zygmund operator Integral operators Pseudodifferential operators Calderón-Zygmund-Operator (DE-588)4147203-2 gnd rswk-swf Cauchy-Integral (DE-588)4511419-5 gnd rswk-swf Pseudodifferentialoperator (DE-588)4047640-6 gnd rswk-swf Calderón-Zygmund-Operator (DE-588)4147203-2 s Pseudodifferentialoperator (DE-588)4047640-6 s Cauchy-Integral (DE-588)4511419-5 s DE-604 Erscheint auch als Online-Ausgabe 978-3-540-12313-2 Lecture notes in mathematics 994 (DE-604)BV000676446 994 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000138426&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Journé, Jean-Lin 1957-2016 Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón Lecture notes in mathematics Opérateurs intégraux Opérateurs linéaires Opérateurs pseudodifférentiels Calderón-Zygmund operator Integral operators Pseudodifferential operators Calderón-Zygmund-Operator (DE-588)4147203-2 gnd Cauchy-Integral (DE-588)4511419-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| subject_GND | (DE-588)4147203-2 (DE-588)4511419-5 (DE-588)4047640-6 |
| title | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_auth | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_exact_search | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_full | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_fullStr | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_full_unstemmed | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_short | Calderón-Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderón |
| title_sort | calderon zygmund operators pseudo differential operators and the cauchy integral of calderon |
| topic | Opérateurs intégraux Opérateurs linéaires Opérateurs pseudodifférentiels Calderón-Zygmund operator Integral operators Pseudodifferential operators Calderón-Zygmund-Operator (DE-588)4147203-2 gnd Cauchy-Integral (DE-588)4511419-5 gnd Pseudodifferentialoperator (DE-588)4047640-6 gnd |
| topic_facet | Opérateurs intégraux Opérateurs linéaires Opérateurs pseudodifférentiels Calderón-Zygmund operator Integral operators Pseudodifferential operators Calderón-Zygmund-Operator Cauchy-Integral Pseudodifferentialoperator |
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