000 | 03137nam a22004815i 4500 | ||
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001 | 978-3-540-48439-4 | ||
003 | DE-He213 | ||
005 | 20190213151536.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1994 gw | s |||| 0|eng d | ||
020 |
_a9783540484394 _9978-3-540-48439-4 |
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024 | 7 |
_a10.1007/BFb0073498 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
|
072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aMilman, Mario. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aExtrapolation and Optimal Decompositions _h[electronic resource] : _bwith Applications to Analysis / _cby Mario Milman. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
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300 |
_aXII, 164 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 ; _v1580 |
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505 | 0 | _aBackground on extrapolation theory -- K/J inequalities and limiting embedding theorems -- Calculations with the ? method and applications -- Bilinear extrapolation and a limiting case of a theorem by Cwikel -- Extrapolation, reiteration, and applications -- Estimates for commutators in real interpolation -- Sobolev imbedding theorems and extrapolation of infinitely many operators -- Some remarks on extrapolation spaces and abstract parabolic equations -- Optimal decompositions, scales, and Nash-Moser iteration. | |
520 | _aThis book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 0 | _aTopological Groups. | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662172117 |
776 | 0 | 8 |
_iPrinted edition: _z9783540580812 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1580 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0073498 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11029 _d11029 |