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100   $a20140104d2013      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 14$aThe Hardy Space H1 with Non-doubling Measures and Their Applications$b[electronic resource] /$fby Dachun Yang, Dongyong Yang, Guoen Hu
205   $a1st ed. 2013.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013.
215   $a1 online resource (XIII, 653 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2084
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-00824-2 
327   $aPreliminaries -- 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.
330   $aThe present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of their applications. It also provides detailed and comprehensive arguments, many typical and easy-to-follow examples, and interesting unsolved problems. The theory of the Hardy space is a fundamental tool for Fourier analysis, with applications for and connections to complex analysis, partial differential equations, functional analysis and geometrical analysis. It also extends to settings where the doubling condition of the underlying measures may fail.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2084
606   $aFourier analysis
606   $aFunctional analysis
606   $aOperator theory
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aFourier analysis.
615  0$aFunctional analysis.
615  0$aOperator theory.
615 14$aFourier Analysis.
615 24$aFunctional Analysis.
615 24$aOperator Theory.
676   $a515.724
700   $aYang$b Dachun$4aut$4http://id.loc.gov/vocabulary/relators/aut$0479675
702   $aYang$b Dongyong$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aHu$b Guoen$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466585603316
996   $aThe Hardy Space H1 with Non-doubling Measures and Their Applications$92504193
997   $aUNISA