The Hardy Space H1 with Non-doubling Measures and Their Applications

• Main Authors: Yang, Dachun. (Author), Yang, Dongyong. (Author), Hu, Guoen. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2084
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Operator theory.; Fourier Analysis.; Functional Analysis.; Operator Theory.
• Online Access: View fulltext via EzAccess

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...

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 (Ï!, Ï&)and Its Dual Space RBMO (Ï!, Ï&)
• Boundedness of Operators over((Ï!, Ï&)
• Bibliography
• Index
• Abstract.