Calderon-Zygmund capacities and operators on nonhomogeneous spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2003
|
| Series: | Regional conference series in mathematics
100 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references |
| Physical Description: | IV, 167 S. |
| ISBN: | 0821832522 |
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Record in the Search Index
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| adam_text | CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES CBMS REGIONAL CONFERENCE
SERIES IN MATHEMATICS NUMBER 100 SUB G6TTINGEN 7 214 970 477
CALDERON-ZYGMUND CAPACITIES AND OPERATORS ON NONHOMOGENEOUS SPACES
ALEXANDER VOLBERG PUBLISHED FOR THE CONFERENCE BOARD OF THE MATHEMATICAL
SCIENCES BY THE »EM4» C AMERICAN MATHEMATICAL SOCIETY ^4 | S
PROVIDENCE, RHODE ISLAND IJ3HKS - 112 Z WITH SUPPORT FROM THE NATIONAL
SCIENCE FOUNDATION CONTENTS CHAPTER 1. INTRODUCTION 1 CHAPTER 2.
PRELIMINARIES ON CAPACITIES 7 CHAPTER 3. LOCALIZATION OF NEWTON AND
RIESZ POTENTIALS 11 3.1. LOCALIZATION LEMMAS 11 3.2. A BUILDING BLOCK
FOR THE CONSTRUCTION OF SPECIAL MEASURES 13 3.3. LOCALIZATION ON SPECIAL
CUBES 13 3.4. MODIFICATION OF DISTRIBUTION 5. CONSTRUCTION OF AUXILIARY
MEASURES 14 3.5. AHLFORS BALLS 15 3.6. THE PRINCIPAL ESTIMATE FOR
AUXILIARY MEASURES 16 CHAPTER 4. FROM DISTRIBUTION TO MEASURE. CARLESON
PROPERTY 21 CHAPTER 5. POTENTIAL NEIGHBORHOOD THAT HAS PROPERTIES
(3.13)-(3.14) 25 5.1. CAPACITIES WITH CALDERON-ZYGMUND (CZ) KERNELS 26
5.2. VARIATIONAL CAPACITY AND EXTREMAL MEASURES 33 5.3. L P THEORY OF
NONHOMOGENEOUS CZ OPERATORS. MEASURE OF ORDER M 42 5.4. RIESZ AND CAUCHY
KERNELS: 7+ ; 7 OP 45 5.5. CAUCHY KERNEL AND ANALYTIC CAPACITY . 47
CHAPTER 6. THE TREE OF THE PROOF 51 CHAPTER 7. THE FIRST REDUCTION TO
NONHOMOGENEOUS TB THEOREM 55 CHAPTER 8. THE SECOND REDUCTION 61 8.1.
SUPPRESSED KERNELS 61 8.2. FROM REAL-VALUED KERNEL TO VECTOR VALUED
KERNEL 67 8.3. FROM ONE LATTICE TO TWO LATTICES 68 8.4. CORE SUPPRESSION
69 CHAPTER 9. THE THIRD REDUCTION 71 CHAPTER 10. THE FOURTH REDUCTION 73
10.1. FJ,, B, D, 7] DECOMPOSITION 73 10.2. GOOD FUNCTIONS AND BAD
FUNCTIONS 74 10.3. ESTIMATES OF NONHOMOGENEOUS CALDERON-ZYGMUND
OPERATORS ON GOOD FUNCTIONS 76 10.4. THE REDUCTION OF THEOREM 9.1 TO
ESTIMATES OF NONHOMOGENEOUS CALDERON-ZYGMUND OPERATOR, NAMELY TO THEOREM
10.6 78 IV CONTENTS CHAPTER 11. THE PROOF OF NONHOMOGENEOUS COTLAR S
LEMMA. ARBITRARY MEASURE 83 CHAPTER 12. STARTING THE PROOF OF
NONHOMOGENEOUS NONACCRETIVE TB THEOREM 93 12.1. TERMINAL AND TRANSIT
CUBES 94 12.2. PROJECTIONS A AND A Q 96 CHAPTER 13. NEXT STEP IN THEOREM
10.6. GOOD AND BAD FUNCTIONS 101 13.1. GOOD FUNCTIONS AND BAD FUNCTIONS
AGAIN 101 13.2. REDUCTION TO ESTIMATES ON GOOD FUNCTIONS 102 13.3.
SPLITTING (T GOOD ,IP GOOD ) TO THREE SUMS 103 13.4. THREE TYPES OF
ESTIMATES OF / K(X, Y)F(X)G(Y) DFJ.(X) D/J.(Y) 104 13.5. ESTIMATE OF
LONG RANGE INTERACTION SUM A2 106 13.6. SHORT RANGE INTERACTION SUM 173.
NONHOMOGENEOUS PARAPRODUCTS 109 CHAPTER 14. ESTIMATE OF THE DIAGONAL
SUM. REMAINDER IN THEOREM 3.3 121 14.1. ESTIMATE OF ETERM 123 14.2.
ESTIMATE OF E TR 126 CHAPTER 15. TWO WEIGHT ESTIMATE FOR THE HILBERT
TRANSFORM. PRELIMINARIES 127 CHAPTER 16. NECESSITY IN THE MAIN THEOREM
133 CHAPTER 17. TWO WEIGHT HILBERT TRANSFORM. TOWARDS THE MAIN THEOREM
135 17.1. BAD AND GOOD PARTS OF / AND G 136 17.2. ESTIMATES ON GOOD
FUNCTIONS 137 CHAPTER 18. LONG RANGE INTERACTION 139 CHAPTER 19. THE
REST OF THE LONG RANGE INTERACTION 143 CHAPTER 20. THE SHORT RANGE
INTERACTION 145 20.1. THE ESTIMATE OF NEIGHBOR-TERMS 145 20.2. THE
ESTIMATE OF STOPPING TERMS 145 20.3. THE CHOICE OF STOPPING INTERVALS
147 CHAPTER 21. DIFFICULT TERMS AND SEVERAL PARAPRODUCTS 153 21.1. FIRST
PARAPRODUCT 154 21.2. TWO MORE PARAPRODUCTS 156 21.3. SECOND
PARAPRODUCT: MIRACULOUS IMPROVEMENT OF THE CARLESON PROPERTY 159 CHAPTER
22. TWO-WEIGHT HILBERT TRANSFORM AND MAXIMAL OPERATOR 161 22.1. DOUBLING
161 22.2. NO DOUBLING 163 BIBLIOGRAPHY 165
|
| any_adam_object | 1 |
| author | Volberg, Alexander |
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| classification_rvk | SI 195 SK 620 |
| contents | Literaturverzeichnis S. 165-167 |
| ctrlnum | (OCoLC)53276503 (DE-599)BVBBV017635267 |
| dewey-full | 515/.7246 510 515.7246 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
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| dewey-search | 515/.7246 510 515.7246 |
| dewey-sort | 3515 47246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:20:10Z |
| institution | BVB |
| isbn | 0821832522 |
| language | English |
| lccn | 2003062990 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010606970 |
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| physical | IV, 167 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Regional conference series in mathematics |
| series2 | Regional conference series in mathematics |
| spelling | Volberg, Alexander Verfasser aut Calderon-Zygmund capacities and operators on nonhomogeneous spaces Alexander Volberg Providence, RI American Mathematical Society 2003 IV, 167 S. txt rdacontent n rdamedia nc rdacarrier Regional conference series in mathematics 100 Includes bibliographical references Literaturverzeichnis S. 165-167 Calderón-Zygmund, Opérateur de Holomorfia (análise) larpcal Operatortheorie gtt Calderón-Zygmund operator Calderón-Zygmund-Operator (DE-588)4147203-2 gnd rswk-swf Calderón-Zygmund-Operator (DE-588)4147203-2 s DE-604 Regional conference series in mathematics 100 (DE-604)BV000004346 100 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010606970&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Volberg, Alexander Calderon-Zygmund capacities and operators on nonhomogeneous spaces Regional conference series in mathematics Literaturverzeichnis S. 165-167 Calderón-Zygmund, Opérateur de Holomorfia (análise) larpcal Operatortheorie gtt Calderón-Zygmund operator Calderón-Zygmund-Operator (DE-588)4147203-2 gnd |
| subject_GND | (DE-588)4147203-2 |
| title | Calderon-Zygmund capacities and operators on nonhomogeneous spaces |
| title_auth | Calderon-Zygmund capacities and operators on nonhomogeneous spaces |
| title_exact_search | Calderon-Zygmund capacities and operators on nonhomogeneous spaces |
| title_full | Calderon-Zygmund capacities and operators on nonhomogeneous spaces Alexander Volberg |
| title_fullStr | Calderon-Zygmund capacities and operators on nonhomogeneous spaces Alexander Volberg |
| title_full_unstemmed | Calderon-Zygmund capacities and operators on nonhomogeneous spaces Alexander Volberg |
| title_short | Calderon-Zygmund capacities and operators on nonhomogeneous spaces |
| title_sort | calderon zygmund capacities and operators on nonhomogeneous spaces |
| topic | Calderón-Zygmund, Opérateur de Holomorfia (análise) larpcal Operatortheorie gtt Calderón-Zygmund operator Calderón-Zygmund-Operator (DE-588)4147203-2 gnd |
| topic_facet | Calderón-Zygmund, Opérateur de Holomorfia (análise) Operatortheorie Calderón-Zygmund operator Calderón-Zygmund-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010606970&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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