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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Yang, Dachun (Συγγραφέας), Yang, Dongyong (Συγγραφέας), Hu, Guoen (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2013.
Σειρά:Lecture Notes in Mathematics, 2084
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Yang, Dachun.  |e author. 
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. 
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 0075-8434 ;  |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 Mathematics. 
650 0 |a Fourier analysis. 
650 0 |a Functional analysis. 
650 0 |a Operator theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Functional Analysis. 
650 2 4 |a Operator Theory. 
700 1 |a Yang, Dongyong.  |e author. 
700 1 |a Hu, Guoen.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319008240 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 2084 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-00825-7  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)