Rectifiable measures, square functions involving densities, and the Cauchy transform:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
January 2017
|
| Series: | Memoirs of the American Mathematical Society
1158 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 130 Seiten |
| ISBN: | 9781470422523 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804177060910858240 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Preliminaries 5
2.1. AD-regular and uniformly rectifiable measures 5
2.2. The ¡3 and a coefficients 6
Chapter 3. A compactness argument 9
Chapter 4. The dyadic lattice of cells with small boundaries 17
Chapter 5. The Main Lemma 21
5.1. Statement of the Main Lemma 21
5.2. Proof of Theorem 1.1 using the Main Lemma 5.1 22
Chapter 6. The stopping cells for the proof of Main Lemma 5.1 27
6.1. The good and the terminal cells 27
6.2. Some basic estimates 28
6.3. The regularized family Reg and the family Qgood. 31
Chapter 7. The measure jl and some estimates about its flatness 35
Chapter 8. The measure of the cells from BCF, LD, BSA and BCG 43
Chapter 9. The new families of cells BS/3, NTerm, NGood, NQgood and NReg 49
Chapter 10. The approximating curves Tk 51
Chapter 11. The small measure of the cells from BS/3 61
Chapter 12. The approximating measure vk on Ykx 63
Chapter 13. Square function estimates for vk 65
Chapter 14. The good measure ak on Tk 75
Chapter 15. The L2(crk) norm of the density of vk with respect to ak 97
Chapter 16. The end of the proof of the Main Lemma 5.1 103
Chapter 17. Proof of Theorem 1.3: Boundedness of TM implies boundedness
of the Cauchy transform 109
Chapter 18. Some Calderón-Zygmund theory for 113
iii
IV
CONTENTS
Chapter 19.
Bibliography
Proof of Theorem 1.3: Boundedness of the Cauchy transform
implies boundedness of T^ 119
129
|
| any_adam_object | 1 |
| author | Tolsa, Xavier |
| author_facet | Tolsa, Xavier |
| author_role | aut |
| author_sort | Tolsa, Xavier |
| author_variant | x t xt |
| building | Verbundindex |
| bvnumber | BV044046459 |
| ctrlnum | (OCoLC)971480545 (DE-599)BVBBV044046459 |
| dewey-full | 515.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.42 |
| dewey-search | 515.42 |
| dewey-sort | 3515.42 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044046459 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:42:05Z |
| institution | BVB |
| isbn | 9781470422523 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029453392 |
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| physical | v, 130 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Tolsa, Xavier aut Rectifiable measures, square functions involving densities, and the Cauchy transform Xavier Tolsa Providence, Rhode Island American Mathematical Society January 2017 v, 130 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 245, number 1158 (3rd of 6 numbers) Cauchy-Transformierte (DE-588)4200458-5 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Radon-Maß (DE-588)4242168-8 gnd rswk-swf Zufälliges Maß (DE-588)4068049-6 gnd rswk-swf Radon-Maß (DE-588)4242168-8 s Maßtheorie (DE-588)4074626-4 s DE-604 Zufälliges Maß (DE-588)4068049-6 s Cauchy-Transformierte (DE-588)4200458-5 s 1\p DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-3605-6 Memoirs of the American Mathematical Society 1158 (DE-604)BV008000141 1158 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029453392&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tolsa, Xavier Rectifiable measures, square functions involving densities, and the Cauchy transform Memoirs of the American Mathematical Society Cauchy-Transformierte (DE-588)4200458-5 gnd Maßtheorie (DE-588)4074626-4 gnd Radon-Maß (DE-588)4242168-8 gnd Zufälliges Maß (DE-588)4068049-6 gnd |
| subject_GND | (DE-588)4200458-5 (DE-588)4074626-4 (DE-588)4242168-8 (DE-588)4068049-6 |
| title | Rectifiable measures, square functions involving densities, and the Cauchy transform |
| title_auth | Rectifiable measures, square functions involving densities, and the Cauchy transform |
| title_exact_search | Rectifiable measures, square functions involving densities, and the Cauchy transform |
| title_full | Rectifiable measures, square functions involving densities, and the Cauchy transform Xavier Tolsa |
| title_fullStr | Rectifiable measures, square functions involving densities, and the Cauchy transform Xavier Tolsa |
| title_full_unstemmed | Rectifiable measures, square functions involving densities, and the Cauchy transform Xavier Tolsa |
| title_short | Rectifiable measures, square functions involving densities, and the Cauchy transform |
| title_sort | rectifiable measures square functions involving densities and the cauchy transform |
| topic | Cauchy-Transformierte (DE-588)4200458-5 gnd Maßtheorie (DE-588)4074626-4 gnd Radon-Maß (DE-588)4242168-8 gnd Zufälliges Maß (DE-588)4068049-6 gnd |
| topic_facet | Cauchy-Transformierte Maßtheorie Radon-Maß Zufälliges Maß |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029453392&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT tolsaxavier rectifiablemeasuressquarefunctionsinvolvingdensitiesandthecauchytransform |