Multi-parameter Singular Integrals. (AM-189), Volume I /

Multi-parameter Singular Integrals. (AM-189), Volume I / / Brian Street.

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-para...

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Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Street, Brian,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©2015
Year of Publication:2014
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 189
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Physical Description:1 online resource (416 p.) :; 7 line illus.
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Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street.
Course Book
Princeton, NJ : Princeton University Press, [2014]
©2015
1 online resource (416 p.) : 7 line illus.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Annals of Mathematics Studies ; 189
Frontmatter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022)
Singular integrals.
Transformations (Mathematics).
MATHEMATICS / Calculus. bisacsh
CaldernКygmund singular integrals.
CaldernКygmund.
CarnotЃarathodory balls.
CarnotЃarathodory geometry.
CarnotЃarathodory metric.
Euclidean singular integral operators.
Frobenius theorem.
Frobenius.
LittlewoodАaley theory.
Schwartz space.
Sobolev spaces.
convolution.
elliptic partial differential equations.
elliptic partial differential operators.
flag kernels.
invariant operators.
linear partial differential equation.
non-homogeneous kernels.
pseudodifferential operators.
singular integral operator.
singular integral operators.
singular integrals.
strengthened cancellation.
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB
Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925
print 9780691162515
https://doi.org/10.1515/9781400852758
https://www.degruyter.com/isbn/9781400852758
Cover https://www.degruyter.com/document/cover/isbn/9781400852758/original
language English
format eBook
author Street, Brian,
Street, Brian,
spellingShingle Street, Brian,
Street, Brian,
Multi-parameter Singular Integrals. (AM-189), Volume I /
Annals of Mathematics Studies ;
Frontmatter --
Contents --
Preface --
1. The Calderón-Zygmund Theory I: Ellipticity --
2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity --
3. Multi-parameter Carnot-Carathéodory Geometry --
4. Multi-parameter Singular Integrals I: Examples --
5. Multi-parameter Singular Integrals II: General Theory --
Appendix A. Functional Analysis --
Appendix B. Three Results from Calculus --
Appendix C. Notation --
Bibliography --
Index
author_facet Street, Brian,
Street, Brian,
author_variant b s bs
b s bs
author_role VerfasserIn
VerfasserIn
author_sort Street, Brian,
title Multi-parameter Singular Integrals. (AM-189), Volume I /
title_full Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street.
title_fullStr Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street.
title_full_unstemmed Multi-parameter Singular Integrals. (AM-189), Volume I / Brian Street.
title_auth Multi-parameter Singular Integrals. (AM-189), Volume I /
title_alt Frontmatter --
Contents --
Preface --
1. The Calderón-Zygmund Theory I: Ellipticity --
2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity --
3. Multi-parameter Carnot-Carathéodory Geometry --
4. Multi-parameter Singular Integrals I: Examples --
5. Multi-parameter Singular Integrals II: General Theory --
Appendix A. Functional Analysis --
Appendix B. Three Results from Calculus --
Appendix C. Notation --
Bibliography --
Index
title_new Multi-parameter Singular Integrals. (AM-189), Volume I /
title_sort multi-parameter singular integrals. (am-189), volume i /
series Annals of Mathematics Studies ;
series2 Annals of Mathematics Studies ;
publisher Princeton University Press,
publishDate 2014
physical 1 online resource (416 p.) : 7 line illus.
Issued also in print.
edition Course Book
contents Frontmatter --
Contents --
Preface --
1. The Calderón-Zygmund Theory I: Ellipticity --
2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity --
3. Multi-parameter Carnot-Carathéodory Geometry --
4. Multi-parameter Singular Integrals I: Examples --
5. Multi-parameter Singular Integrals II: General Theory --
Appendix A. Functional Analysis --
Appendix B. Three Results from Calculus --
Appendix C. Notation --
Bibliography --
Index
isbn 9781400852758
9783110494914
9783110665925
9780691162515
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA329
callnumber-sort QA 3329.6 S77 42017
url https://doi.org/10.1515/9781400852758
https://www.degruyter.com/isbn/9781400852758
https://www.degruyter.com/document/cover/isbn/9781400852758/original
illustrated Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.98
dewey-sort 3515.98
dewey-raw 515.98
dewey-search 515.98
doi_str_mv 10.1515/9781400852758
oclc_num 881286436
work_keys_str_mv AT streetbrian multiparametersingularintegralsam189volumei
status_str n
ids_txt_mv (DE-B1597)447457
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015
is_hierarchy_title Multi-parameter Singular Integrals. (AM-189), Volume I /
container_title Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
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