000 03137nam a22004815i 4500
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
024 7 _a10.1007/BFb0073498
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
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.
300 _aXII, 164 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 ;
_v1580
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