Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals PDF Download
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Author: Guozhen Lu
Publisher: American Mathematical Society
ISBN: 1470455374
Category : Mathematics
Languages : en
Pages : 100
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Author: Guozhen Lu
Publisher: American Mathematical Society
ISBN: 1470455374
Category : Mathematics
Languages : en
Pages : 100
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Book Description
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Author: Jiawei Shen
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 119
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Book Description
In [12], Christ, Nagel, Stein and Waigner studied the L p theories for the singular Radon Trans- forms. Furthermore, B. Street in [68], and Stein and Street in [640́367] extended the theories of the L p boundedness for multi-parameter singular integral operators, such as the Calder©đn Zygmund operators and singular Radon transforms. In this dissertation, we will study the Hardy space H p and its dual space associated with both the one-parameter and multi-parameter singular Radon transforms, and consider the boundedness of the singular Radon transforms on such Hardy spaces H p when 0 9́Þ p 9́Þ 1. Inspired by recent characterization of the Hardy spaces on product spaces, we will take advan- tage of the discrete Littlewood-Paley analysis [14,32,43] to define the Hardy spaces H p and the Carleson measure spaces CMO p associated with the multi-parameter singular Radon transforms. Moreover, we will prove the H p boundedness of those operators and thus obtain the endpoint es- timates for the L p boundedness of the singular Radon transforms by Christ, Nagel, Wainger and Stein [12] and and for multi-parameter singular Radon transforms by Street and Stein [650́368].
Author: Kannan Soundararajan
Publisher: American Mathematical Society
ISBN: 1470469308
Category : Mathematics
Languages : en
Pages : 100
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Book Description
This book uses finite field theory as a hook to introduce the reader to a range of ideas from algebra and number theory. It constructs all finite fields from scratch and shows that they are unique up to isomorphism. As a payoff, several combinatorial applications of finite fields are given: Sidon sets and perfect difference sets, de Bruijn sequences and a magic trick of Persi Diaconis, and the polynomial time algorithm for primality testing due to Agrawal, Kayal and Saxena. The book forms the basis for a one term intensive course with students meeting weekly for multiple lectures and a discussion session. Readers can expect to develop familiarity with ideas in algebra (groups, rings and fields), and elementary number theory, which would help with later classes where these are developed in greater detail. And they will enjoy seeing the AKS primality test application tying together the many disparate topics from the book. The pre-requisites for reading this book are minimal: familiarity with proof writing, some linear algebra, and one variable calculus is assumed. This book is aimed at incoming undergraduate students with a strong interest in mathematics or computer science.
Author: Brian Street
Publisher: Princeton University Press
ISBN: 0691162522
Category : Mathematics
Languages : en
Pages : 411
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Book 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.
Author: Tarek M. Elgindi
Publisher: American Mathematical Society
ISBN: 1470456826
Category : Mathematics
Languages : en
Pages : 102
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Author: Nassif Ghoussoub
Publisher: American Mathematical Society
ISBN: 1470461196
Category : Mathematics
Languages : en
Pages : 138
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Author: Martin Herschend
Publisher: American Mathematical Society
ISBN: 1470456311
Category : Mathematics
Languages : en
Pages : 156
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Book Description
View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?
Author: Björn Sandstede
Publisher: American Mathematical Society
ISBN: 1470463091
Category : Mathematics
Languages : en
Pages : 116
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Author: Sema Güntürkün
Publisher: American Mathematical Society
ISBN: 1470465469
Category : Mathematics
Languages : en
Pages : 148
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Author: Yi Huang
Publisher: American Mathematical Society
ISBN: 1470463121
Category : Mathematics
Languages : en
Pages : 128
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