eBook - PDF

Real-Variable Methods in Harmonic Analysis

Name: Real-Variable Methods in Harmonic Analysis
ISBN: 9781483268880

Alberto Torchinsky,

Samuel Eilenberg,

Hyman Bass,

474 pages
English
PDF
Available on iOS & Android

eBook - PDF

Real-Variable Methods in Harmonic Analysis

Alberto Torchinsky,

Samuel Eilenberg,

Hyman Bass,

About this book

Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good? inequalities. The Calderón theory of commutators is also considered.Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods.This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.

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Yes, you can access Real-Variable Methods in Harmonic Analysis by Alberto Torchinsky, Samuel Eilenberg,Hyman Bass in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.