Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets:
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| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
January 2017
|
| Series: | Memoirs of the American Mathematical Society
1159 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 108 Seiten |
| ISBN: | 9781470422608 |
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MARC
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Record in the Search Index
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| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Analysis and Geometry on Quasi-Metric Spaces 13
2.1. A metrization result for general quasi-metric spaces 13
2.2. Geometrically doubling quasi-metric spaces 16
2.3. Approximations to the identity on quasi-metric spaces 24
2.4. Dyadic Carleson tents 30
Chapter 3. T( 1) and local T(b) Theorems for Square Functions 35
3.1. An arbitrary codimension T(l) theorem for square functions 35
3.2. An arbitrary codimension local T(b) theorem for square functions 46
Chapter 4. An Inductive Scheme for Square Function Estimates 51
Chapter 5. Square Function Estimates on Uniformly Rectifiable Sets 57
5.1. Square function estimates on Lipschitz graphs 58
5.2. Square function estimates on (BP)fcLG sets 62
5.3. Square function estimates for integral operators with variable kernels 64
Chapter 6. LP Square Function Estimates 71
6.1. Mixed norm spaces 71
6.2. Estimates relating the Lusin and Carleson operators 81
6.3. Weak LP square function estimates imply L2 square function estimates 86
6.4. Extrapolating square function estimates 92
Chapter 7. Conclusion 101
References 105
iii
|
| any_adam_object | 1 |
| author | Hofmann, Steve 1958- Mitrea, Dorina 1965- Mitrea, Marius Morris, Andrew J. |
| author_GND | (DE-588)173471544 (DE-588)140077642 (DE-588)1125131071 |
| author_facet | Hofmann, Steve 1958- Mitrea, Dorina 1965- Mitrea, Marius Morris, Andrew J. |
| author_role | aut aut aut aut |
| author_sort | Hofmann, Steve 1958- |
| author_variant | s h sh d m dm m m mm a j m aj ajm |
| building | Verbundindex |
| bvnumber | BV044046585 |
| ctrlnum | (OCoLC)971480441 (DE-599)BVBBV044046585 |
| dewey-full | 514.325 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.325 |
| dewey-search | 514.325 |
| dewey-sort | 3514.325 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044046585 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:42:05Z |
| institution | BVB |
| isbn | 9781470422608 |
| language | English |
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| physical | v, 108 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
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| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Hofmann, Steve 1958- (DE-588)173471544 aut Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets Steve Hofmann, Dorina Mitrea, Marius Mitrea, Andrew J. Morris Providence, Rhode Island American Mathematical Society January 2017 v, 108 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 245, number 1159 (4th of 6 numbers) Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Geometrische Maßtheorie (DE-588)4125258-5 gnd rswk-swf Homogener Raum (DE-588)4025787-3 gnd rswk-swf Funktionenraum (DE-588)4134834-5 gnd rswk-swf Homogener Raum (DE-588)4025787-3 s Lie-Gruppe (DE-588)4035695-4 s Funktionenraum (DE-588)4134834-5 s Geometrische Maßtheorie (DE-588)4125258-5 s 1\p DE-604 Mitrea, Dorina 1965- (DE-588)140077642 aut Mitrea, Marius aut Morris, Andrew J. (DE-588)1125131071 aut Erscheint auch als Online-Ausgabe 978-1-4704-3607-0 Memoirs of the American Mathematical Society 1159 (DE-604)BV008000141 1159 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=029453516&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 | Hofmann, Steve 1958- Mitrea, Dorina 1965- Mitrea, Marius Morris, Andrew J. Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets Memoirs of the American Mathematical Society Lie-Gruppe (DE-588)4035695-4 gnd Geometrische Maßtheorie (DE-588)4125258-5 gnd Homogener Raum (DE-588)4025787-3 gnd Funktionenraum (DE-588)4134834-5 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4125258-5 (DE-588)4025787-3 (DE-588)4134834-5 |
| title | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets |
| title_auth | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets |
| title_exact_search | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets |
| title_full | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets Steve Hofmann, Dorina Mitrea, Marius Mitrea, Andrew J. Morris |
| title_fullStr | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets Steve Hofmann, Dorina Mitrea, Marius Mitrea, Andrew J. Morris |
| title_full_unstemmed | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets Steve Hofmann, Dorina Mitrea, Marius Mitrea, Andrew J. Morris |
| title_short | Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets |
| title_sort | lp square function estimates on spaces of homogeneous type and on uniformly rectifiable sets |
| topic | Lie-Gruppe (DE-588)4035695-4 gnd Geometrische Maßtheorie (DE-588)4125258-5 gnd Homogener Raum (DE-588)4025787-3 gnd Funktionenraum (DE-588)4134834-5 gnd |
| topic_facet | Lie-Gruppe Geometrische Maßtheorie Homogener Raum Funktionenraum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029453516&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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