Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets:
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
January 2017
|
| Series: | Memoirs of the American Mathematical Society
1159 |
| Subjects: | |
| Links: | 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 |
| Physical Description: | v, 108 Seiten |
| ISBN: | 9781470422608 |
Staff View
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
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| 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 | 2024-12-20T17:52:14Z |
| institution | BVB |
| isbn | 9781470422608 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029453516 |
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| physical | v, 108 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 |
| 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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