000 03242nam a22005175i 4500
001 978-3-319-00825-7
003 DE-He213
005 20190213151049.0
007 cr nn 008mamaa
008 140104s2013 gw | s |||| 0|eng d
020 _a9783319008257
_9978-3-319-00825-7
024 7 _a10.1007/978-3-319-00825-7
_2doi
050 4 _aQA403.5-404.5
072 7 _aPBKF
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBKF
_2thema
082 0 4 _a515.2433
_223
100 1 _aYang, Dachun.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Hardy Space H1 with Non-doubling Measures and Their Applications
_h[electronic resource] /
_cby Dachun Yang, Dongyong Yang, Guoen Hu.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2013.
300 _aXIII, 653 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2084
505 0 _aPreliminaries -- 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 _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.
650 0 _aFourier analysis.
650 0 _aFunctional analysis.
650 0 _aOperator theory.
650 1 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
700 1 _aYang, Dongyong.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aHu, Guoen.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319008240
776 0 8 _iPrinted edition:
_z9783319008264
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2084
856 4 0 _uhttps://doi.org/10.1007/978-3-319-00825-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9386
_d9386