02901nam 2200649 450 99646686550331620220823101348.03-540-69664-410.1007/BFb0093486(CKB)1000000000437334(SSID)ssj0000321677(PQKBManifestationID)11257597(PQKBTitleCode)TC0000321677(PQKBWorkID)10280019(PQKB)10405417(DE-He213)978-3-540-69664-3(MiAaPQ)EBC5594378(Au-PeEL)EBL5594378(OCoLC)1076236093(MiAaPQ)EBC6819036(Au-PeEL)EBL6819036(OCoLC)1159611799(PPN)15523501X(EXLCZ)99100000000043733420220823d1998 uy 0engurnn|008mamaatxtccrThe blocking technique, weighted mean operators and Hardy's inequality. /Karl-Goswin Grosse-Erdmann1st ed. 1998.Berlin :Springer,[1998]©19981 online resource (XII, 120 p.) Lectures notes in mathematics ;1679Bibliographic Level Mode of Issuance: Monograph3-540-63902-0 Includes bibliographical references and index.The blocking technique -- The sequence spaces c(a, p, q) and d(a, p, q) -- Applications to matrix operators and inequalities -- Integral analogues.This 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.Lecture notes in mathematics (Springer-Verlag) ;1679.Normed linear spacesInequalities (Mathematics)Summability theoryNormed linear spaces.Inequalities (Mathematics)Summability theory.515.732Grosse-Erdmann Karl-Goswin61751MiAaPQMiAaPQMiAaPQBOOK996466865503316Blocking technique, weighted mean operators and Hardy's inequality78091UNISA