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

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Mathematical Analysis
Cover of the book The Hardy Space H1 with Non-doubling Measures and Their Applications by Dongyong Yang, Guoen Hu, Dachun Yang, Springer International Publishing
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Author: Dongyong Yang, Guoen Hu, Dachun Yang ISBN: 9783319008257
Publisher: Springer International Publishing Publication: January 4, 2014
Imprint: Springer Language: English
Author: Dongyong Yang, Guoen Hu, Dachun Yang
ISBN: 9783319008257
Publisher: Springer International Publishing
Publication: January 4, 2014
Imprint: Springer
Language: English

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.

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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.

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