LEADER 03120nam 2200613 450 001 996466591503316 005 20220406115026.0 010 $a3-540-48439-6 024 7 $a10.1007/BFb0073498 035 $a(CKB)1000000000437180 035 $a(SSID)ssj0000323076 035 $a(PQKBManifestationID)12114797 035 $a(PQKBTitleCode)TC0000323076 035 $a(PQKBWorkID)10296288 035 $a(PQKB)10758549 035 $a(DE-He213)978-3-540-48439-4 035 $a(MiAaPQ)EBC5594542 035 $a(Au-PeEL)EBL5594542 035 $a(OCoLC)1076256947 035 $a(MiAaPQ)EBC6842527 035 $a(Au-PeEL)EBL6842527 035 $a(OCoLC)793079364 035 $a(PPN)155168444 035 $a(EXLCZ)991000000000437180 100 $a20220304d1994 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aExtrapolation and optimal decompositions $ewith applications to analysis /$fMario Milman 205 $a1st ed. 1994. 210 1$aBerlin, Heidelberg :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (XII, 164 p.) 225 1 $aLecture Notes in Mathematics ;$v1580 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-58081-6 311 $a3-540-58081-6 327 $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. 330 $aThis book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1580. 606 $aExtrapolation 615 0$aExtrapolation. 676 $a511.42 686 $a46M35$2msc 700 $aMilman$b Mario$060307 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466591503316 996 $aExtrapolation and optimal decompositions$978716 997 $aUNISA