Download or read book Multi Parameter Hardy Spaces Theory and Endpoint Estimates for Multi Parameter Singular Integrals written by Guozhen Lu and published by American Mathematical Society. This book was released on 2023-01-18 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Hardy Space Theory and Endpoint Estimates for Multi parameter Singular Radon Transforms written by Jiawei Shen and published by . This book was released on 2018 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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].

Download or read book Finite Fields with Applications to Combinatorics written by Kannan Soundararajan and published by American Mathematical Society. This book was released on 2022-11-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Multi parameter Singular Integrals AM 189 Volume I written by Brian Street and published by Princeton University Press. This book was released on 2014-10-05 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book On Singular Vortex Patches I Well Posedness Issues written by Tarek M. Elgindi and published by American Mathematical Society. This book was released on 2023-03-09 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Multiplicity and Stability of the Pohozaev Obstruction for Hardy Schr dinger Equations with Boundary Singularity written by Nassif Ghoussoub and published by American Mathematical Society. This book was released on 2023-05-23 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Representation Theory of Geigle Lenzing Complete Intersections written by Martin Herschend and published by American Mathematical Society. This book was released on 2023-05-23 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?

Download or read book Spiral Waves Linear and Nonlinear Theory written by Björn Sandstede and published by American Mathematical Society. This book was released on 2023-05-23 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book The Representation Theory of the Increasing Monoid written by Sema Güntürkün and published by American Mathematical Society. This book was released on 2023-06-22 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book McShane Identities for Higher Teichm ller Theory and the Goncharov Shen Potential written by Yi Huang and published by American Mathematical Society. This book was released on 2023-06-22 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Construction of Blowup Solutions for the Complex Ginzburg Landau Equation with Critical Parameters written by Giao Ky Duong and published by American Mathematical Society. This book was released on 2023-05-23 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Planar Algebras in Braided Tensor Categories written by André Gil Henriques and published by American Mathematical Society. This book was released on 2023-02-13 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows written by Luchezar Stoyanov and published by American Mathematical Society. This book was released on 2023-03-09 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Weight Multiplicities and Young Tableaux Through Affine Crystals written by Jang Soo Kim and published by American Mathematical Society. This book was released on 2023-03-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Local Coefficients and Gamma Factors for Principal Series of Covering Groups written by Fan Gao and published by American Mathematical Society. This book was released on 2023-03-10 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Dynamics of the Box Ball System with Random Initial Conditions via Pitman s Transformation written by David A. Croydon and published by American Mathematical Society. This book was released on 2023-03-09 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Download or read book Multiplicative Invariant Fields of Dimension leq 6 written by Akinari Hoshi and published by American Mathematical Society. This book was released on 2023-03-09 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.