(Record no. 128019)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04114nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC4908275 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729131328.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2017 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470436070 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781470422608 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC4908275 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL4908275 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11409821 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)967922979 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA387.L677 2017 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.32500000000005 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hofmann, Steve. |
| 245 10 - TITLE STATEMENT | |
| Title | |
| -- | ^{p} |
| -- | Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2017. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2016. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (120 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.245 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Analysis and Geometry on Quasi-Metric Spaces -- 2.1. A metrization result for general quasi-metric spaces -- 2.2. Geometrically doubling quasi-metric spaces -- 2.3. Approximations to the identity on quasi-metric spaces -- 2.4. Dyadic Carleson tents -- Chapter 3. (1) and local ( ) Theorems for Square Functions -- 3.1. An arbitrary codimension (1) theorem for square functions -- 3.2. An arbitrary codimension local ( ) theorem for square functions -- Chapter 4. An Inductive Scheme for Square Function Estimates -- Chapter 5. Square Function Estimates on Uniformly Rectifiable Sets -- 5.1. Square function estimates on Lipschitz graphs -- 5.2. Square function estimates on (BP)^{ }LG sets -- 5.3. Square function estimates for integral operators with variable kernels -- Chapter 6. ^{ } Square Function Estimates -- 6.1. Mixed norm spaces -- 6.2. Estimates relating the Lusin and Carleson operators -- 6.3. Weak ^{ } square function estimates imply ² square function estimates -- 6.4. Extrapolating square function estimates -- Chapter 7. Conclusion -- References -- Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The authors establish square function estimates for integral operators on uniformly rectifiable sets by proving a local T(b) theorem and applying it to show that such estimates are stable under the so-called big pieces functor. More generally, they consider integral operators associated with Ahlfors-David regular sets of arbitrary codimension in ambient quasi-metric spaces. The local T(b) theorem is then used to establish an inductive scheme in which square function estimates on so-called big pieces of an Ahlfors-David regular set are proved to be sufficient for square function estimates to hold on the entire set. Extrapolation results for L^p and Hardy space versions of these estimates are also established. Moreover, the authors prove square function estimates for integral operators associated with variable coefficient kernels, including the Schwartz kernels of pseudodifferential operators acting between vector bundles on subdomains with uniformly rectifiable boundaries on manifolds. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homogeneous spaces. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mitrea, Dorina. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mitrea, Marius. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Morris, Andrew J. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Hofmann, Steve |
| Title | |
| -- | ^{p} |
| -- | Square Function Estimates on Spaces of Homogeneous Type and on Uniformly Rectifiable Sets |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2017 |
| International Standard Book Number | 9781470422608 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908275">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908275</a> |
| Public note | Click to View |
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