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Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
Volume 245, no. 1159 (fourth of 6 numbers) |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_ocn967922979 | ||
| 003 | OCoLC | ||
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| 020 | |a 9781470436070 |q (electronic bk.) | ||
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| 049 | |a UAMI | ||
| 245 | 0 | 0 | |a Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / |c Steve Hofmann, Dorina Mitrea, Marius Mitrea, Andrew J. Morris. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v Volume 245, Number 1159 (fourth of 6 numbers) | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Analysis and Geometry on Quasi-Metric Spaces |t Chapter 3. $T(1)$ and local $T(b)$ Theorems for Square Functions |t Chapter 4. An Inductive Scheme for Square Function Estimates |t Chapter 5. Square Function Estimates on Uniformly Rectifiable Sets |t Chapter 6. $L^p$ Square Function Estimates |t Chapter 7. Conclusion. |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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 ho. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Homogeneous spaces. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Function spaces. | |
| 650 | 0 | |a Geometric measure theory. | |
| 650 | 6 | |a Espaces homogènes. | |
| 650 | 6 | |a Groupes de Lie. | |
| 650 | 6 | |a Espaces fonctionnels. | |
| 650 | 6 | |a Théorie de la mesure géométrique. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Function spaces |2 fast | |
| 650 | 7 | |a Geometric measure theory |2 fast | |
| 650 | 7 | |a Homogeneous spaces |2 fast | |
| 650 | 7 | |a Lie groups |2 fast | |
| 700 | 1 | |a Hofmann, Steve, |d 1958- |1 https://id.oclc.org/worldcat/entity/E39PBJvRTQCRkp3mdjdkhVxv73 | |
| 700 | 1 | |a Mitrea, Dorina, |d 1965- |1 https://id.oclc.org/worldcat/entity/E39PBJpv7q38fV6GvpykF4MpT3 | |
| 700 | 1 | |a Mitrea, Marius. | |
| 700 | 1 | |a Morris, Andrew J. |q (Andrew Jordan) |1 https://id.oclc.org/worldcat/entity/E39PCjtBvYFx86txTVHHDrDVfm | |
| 758 | |i has work: |a Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGbYc9hxbpyWyW8fQ9Tkfy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |t Lp-square function estimates on spaces of homogeneous type and on uniformly rectifiable sets / |x 0065-9266 |z 9781470422608 |w (DLC) 2016053202 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v Volume 245, no. 1159 (fourth of 6 numbers) | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4908275 |z Texto completo |
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