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The Hardy Space H1 with Non-doubling Measures and Their Applications / by Dachun Yang, Dongyong Yang, Guoen Hu.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Yang, Dachun, 1963- author.
- Yang, Dongyong, author.
- Hu, Guoen, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2084.
- Lecture Notes in Mathematics, 0075-8434 ; 2084
- Language:
- English
- Subjects (All):
- Fourier analysis.
- Functional analysis.
- Operator theory.
- Fourier Analysis.
- Functional Analysis.
- Operator Theory.
- Local Subjects:
- Fourier Analysis.
- Functional Analysis.
- Operator Theory.
- Physical Description:
- 1 online resource (XIII, 653 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2013.
- System Details:
- text file PDF
- 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(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.
- Other Format:
- Printed edition:
- ISBN:
- 9783319008257
- Access Restriction:
- Restricted for use by site license.
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