000 02707nam a22004815i 4500
001 978-3-540-69664-3
003 DE-He213
005 20190213151733.0
007 cr nn 008mamaa
008 121227s1998 gw | s |||| 0|eng d
020 _a9783540696643
_9978-3-540-69664-3
024 7 _a10.1007/BFb0093486
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
072 7 _aPBKF
_2thema
082 0 4 _a515.724
_223
100 1 _aGrosse-Erdmann, Karl-Goswin.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe Blocking Technique, Weighted Mean Operators and Hardy’s Inequality
_h[electronic resource] /
_cby Karl-Goswin Grosse-Erdmann.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1998.
300 _aXII, 120 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 ;
_v1679
505 0 _aThe blocking technique -- The sequence spaces c(a, p, q) and d(a, p, q) -- Applications to matrix operators and inequalities -- Integral analogues.
520 _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.
650 0 _aOperator theory.
650 0 _aMathematics.
650 1 4 _aOperator Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M12139
650 2 4 _aReal Functions.
_0http://scigraph.springernature.com/things/product-market-codes/M12171
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662212769
776 0 8 _iPrinted edition:
_z9783540639022
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1679
856 4 0 _uhttps://doi.org/10.1007/BFb0093486
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11711
_d11711