TY  - BOOK
AU  - Yang,Dachun
AU  - Yang,Dongyong
AU  - Hu,Guoen
ED  - SpringerLink (Online service)
TI  - The Hardy Space H1 with Non-doubling Measures and Their Applications
T2  - Lecture Notes in Mathematics,
SN  - 9783319008257
AV  - QA403.5-404.5 
U1  - 515.2433 23
PY  - 2013///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Fourier analysis
KW  - Functional analysis
KW  - Operator theory
KW  - Fourier Analysis
KW  - Functional Analysis
KW  - Operator Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-319-00825-7
ER  -