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The Hardy Space H¹ with non-doubling measures and their applications Dachun Yang, Dongyong Yang, Guoen Hu
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Yang, Dachun, 1963- author.
- Yang, Dongyong, author.
- Hu, Guoen, author.
- Series:
- Lecture notes in mathematics (Springer-Verlag) 2084
- Lecture notes in mathematics 1617-9692 2084
- Language:
- English
- Subjects (All):
- Hardy spaces.
- Fourier analysis.
- Operator theory.
- Fourier Analysis.
- Mathematics.
- Functional Analysis.
- Operator Theory.
- Medical Subjects:
- Fourier Analysis.
- Local Subjects:
- Mathematics.
- Fourier Analysis.
- Functional Analysis.
- Operator Theory.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cham, Switzerland Springer [2013]
- System Details:
- text file
- Summary:
- 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
- Contents:
- Preliminaries
- Approximations of the Identity
- The Hardy Space H1
- The Local Atomic Hardy Space h1
- Boundedness of Operators over (RD,?)
- Littlewood-Paley Operators and Maximal Operators Related to Approximations of the Identity
- The Hardy Space H1 (?,?)and Its Dual Space RBMO (?,?)
- Boundedness of Operators over((?,?)
- Bibliography
- Index
- Abstract
- The Hardy Space H1(μ)
- The Local Atomic Hardy Space h1(μ)
- Boundedness of Operators over (RD, μ)
- The Hardy Space H1 (χ, υ)and Its Dual Space RBMO (χ, υ)
- Boundedness of Operators over((χ, υ)
- Notes:
- Includes bibliographical references and index
- Online resource; title from PDF title page (SpringerLink, viewed 8 Jan 2014)
- Other Format:
- Printed edition:
- ISBN:
- 9783319008257
- 3319008250
- 3319008242
- 9783319008240
- OCLC:
- 867699826
- Access Restriction:
- Restricted for use by site license
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