Multi-parameter singular integrals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton University Press
[2014]
|
| Series: | Annals of Mathematics Studies
number 189 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields |
| Physical Description: | 1 Online-Ressource (416p.) |
| ISBN: | 9781400852758 |
| DOI: | 10.1515/9781400852758 |
Staff View
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| id | DE-604.BV042523212 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-19T17:41:17Z |
| institution | BVB |
| isbn | 9781400852758 |
| language | English |
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| publisher | Princeton University Press |
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| spelling | Street, Brian 1981- (DE-588)1074231368 aut Multi-parameter singular integrals Brian Street Princeton, N.J. Princeton University Press [2014] © 2014 1 Online-Ressource (416p.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 189 This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields In English Mathematik Singular integrals Transformations (Mathematics) MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Erscheint auch als Druck-Ausgabe 978-0-691-16251-5 Annals of Mathematics Studies number 189 (DE-604)BV040389493 189 https://doi.org/10.1515/9781400852758?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Street, Brian 1981- Multi-parameter singular integrals Annals of Mathematics Studies Mathematik Singular integrals Transformations (Mathematics) MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh |
| title | Multi-parameter singular integrals |
| title_auth | Multi-parameter singular integrals |
| title_exact_search | Multi-parameter singular integrals |
| title_full | Multi-parameter singular integrals Brian Street |
| title_fullStr | Multi-parameter singular integrals Brian Street |
| title_full_unstemmed | Multi-parameter singular integrals Brian Street |
| title_short | Multi-parameter singular integrals |
| title_sort | multi parameter singular integrals |
| topic | Mathematik Singular integrals Transformations (Mathematics) MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh |
| topic_facet | Mathematik Singular integrals Transformations (Mathematics) MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis |
| url | https://doi.org/10.1515/9781400852758?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT streetbrian multiparametersingularintegrals |