The Hardy Space H1 with Non-doubling Measures and Their Applications
Author:   Dachun Yang ,  Dongyong Yang ,  Guoen Hu
Publisher:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   2084
ISBN:  

9783319008240


Pages:   653
Publication Date:   13 January 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Hardy Space H1 with Non-doubling Measures and Their Applications


Overview

The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.

Full Product Details

Author:   Dachun Yang ,  Dongyong Yang ,  Guoen Hu
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2014 ed.
Volume:   2084
Dimensions:   Width: 15.50cm , Height: 3.40cm , Length: 23.50cm
Weight:   1.015kg
ISBN:  

9783319008240


ISBN 10:   3319008242
Pages:   653
Publication Date:   13 January 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preliminaries.- Approximations of the Identity.- The Hardy Space H1(μ).- The Local Atomic Hardy Space h1(μ).- Boundedness of Operators over (RD, μ).- Littlewood-Paley Operators and Maximal Operators Related to Approximations of the Identity.- The Hardy Space H1 (χ, υ)and Its Dual Space RBMO (χ, υ).- Boundedness of Operators over((χ, υ).- Bibliography.- Index.- Abstract.

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