000 | 03242nam a22005175i 4500 | ||
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2084 |
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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 |