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

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Yang, Dachun (Autor), Yang, Dongyong (Autor), Hu, Guoen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Lecture Notes in Mathematics, 2084
Temas:
Fourier analysis.
Functional analysis.
Operator theory.
Fourier Analysis.
Functional Analysis.
Operator Theory.
Acceso en línea:Texto Completo

MARC

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100 1 |a Yang, Dachun.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 4 |a The Hardy Space H1 with Non-doubling Measures and Their Applications  |h [electronic resource] /  |c by Dachun Yang, Dongyong Yang, Guoen Hu. 
250 |a 1st ed. 2013. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2013. 
300 |a XIII, 653 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2084 
505 0 |a 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. 
520 |a 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. 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 0 |a Operator theory. 
650 1 4 |a Fourier Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Operator Theory. 
700 1 |a Yang, Dongyong.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Hu, Guoen.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319008240 
776 0 8 |i Printed edition:  |z 9783319008264 
830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2084 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-00825-7  |z Texto Completo 
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912 |a ZDB-2-SXMS 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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