LEADER 02982nam 22006615 450 001 9910146297203321 005 20250731082247.0 010 $a3-540-69664-4 024 7 $a10.1007/BFb0093486 035 $a(CKB)1000000000437334 035 $a(SSID)ssj0000321677 035 $a(PQKBManifestationID)11257597 035 $a(PQKBTitleCode)TC0000321677 035 $a(PQKBWorkID)10280019 035 $a(PQKB)10405417 035 $a(DE-He213)978-3-540-69664-3 035 $a(MiAaPQ)EBC5594378 035 $a(Au-PeEL)EBL5594378 035 $a(OCoLC)1076236093 035 $a(MiAaPQ)EBC6819036 035 $a(Au-PeEL)EBL6819036 035 $a(OCoLC)1159611799 035 $a(PPN)15523501X 035 $a(EXLCZ)991000000000437334 100 $a20121227d1998 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe Blocking Technique, Weighted Mean Operators and Hardy's Inequality /$fby Karl-Goswin Grosse-Erdmann 205 $a1st ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998. 215 $a1 online resource (XII, 120 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1679 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-63902-0 320 $aIncludes bibliographical references and index. 327 $aThe blocking technique -- The sequence spaces c(a, p, q) and d(a, p, q) -- Applications to matrix operators and inequalities -- Integral analogues. 330 $aThis book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. The blocking technique is a powerful, yet elementary, tool whose usefulnes is demonstrated in the book. In particular, it is shown to lead to the solution of three recent problems of Bennett concerning the inequalities of Hardy and Copson. The book is addressed to researchers and graduate students. An interesting feature is that it contains a dictionary of transformations between section and block norms and will thus be useful to researchers as a reference text. The book requires no knowledge beyond an introductory course in functional analysis. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1679 606 $aOperator theory 606 $aFunctions of real variables 606 $aOperator Theory 606 $aReal Functions 615 0$aOperator theory. 615 0$aFunctions of real variables. 615 14$aOperator Theory. 615 24$aReal Functions. 676 $a515.732 700 $aGrosse-Erdmann$b Karl-Goswin$061751 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146297203321 996 $aBlocking technique, weighted mean operators and Hardy's inequality$978091 997 $aUNINA