LEADER 01308nas 2200457-a 450 001 996297348403316 005 20240124213015.0 035 $a(CKB)991042732664008 035 $a(CONSER)---96659044- 035 $a(EXLCZ)99991042732664008 100 $a19960205b19962005 --- a 101 0 $aeng 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aDesign/build business 210 $aGlendale, Calif. $cMcKellar Publications$d©1996- 210 3 $aFort Atkinson, WI $cCygnus Business Media 215 $a1 online resource 300 $aTitle from cover. 531 0 $aDes./build bus. 606 $aBuilding$vPeriodicals 606 $aArchitecture$vPeriodicals 606 $aConstruction$vPériodiques 606 $aArchitecture$vPériodiques 606 $aArchitecture$2fast$3(OCoLC)fst00813346 606 $aBuilding$2fast$3(OCoLC)fst00840551 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 615 0$aBuilding 615 0$aArchitecture 615 6$aConstruction 615 6$aArchitecture 615 7$aArchitecture. 615 7$aBuilding. 676 $a338.4/769/00979 906 $aJOURNAL 912 $a996297348403316 920 $aexl_impl conversion 996 $aDESIGN$9321240 997 $aUNISA LEADER 03839nam 22006255 450 001 9910484588103321 005 20251113184423.0 010 $a3-030-47890-4 024 7 $a10.1007/978-3-030-47890-2 035 $a(CKB)4100000011363858 035 $a(DE-He213)978-3-030-47890-2 035 $a(MiAaPQ)EBC6274492 035 $a(PPN)269149589 035 $a(MiAaPQ)EBC6272539 035 $a(MiAaPQ)EBC29083750 035 $a(EXLCZ)994100000011363858 100 $a20200727d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Rademacher System in Function Spaces /$fby Sergey V. Astashkin 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020. 215 $a1 online resource (XX, 559 p. 2 illus., 1 illus. in color.) 311 08$a3-030-47889-0 327 $aRademacher functions in L_p-spaces -- The Rademacher system in symmetric spaces situated "far" from L_\infty -- The Rademacher system in symmetric spaces situated "close" to L_\infty -- Rademacher sums with vector coefficients -- Best constants in the Khintchine and Kahane-Khintchine inequalities -- The Rademacher chaos in symmetric spaces -- The comparison of systems of random variables -- The extraction of lacunary subsystems -- Extreme properties of the Rademacher system -- Bernoulli processes -- Rademacher multiplicator spaces -- Some versions of the Khintchine inequality -- Martingale transforms of the Rademacher sequence in symmetric spaces -- Rademacher functions in BMO and Paley spaces -- Rademacher functions in Cesaro type spaces -- Rademacher functions in Morrey spaces -- Appendix A. Some preliminaries from probability theory -- Appendix B. Basic sequences and lacunary systems -- Appendix C. Banach function lattices and symmetric spaces -- Appendix D. Interpolation of operators and spaces of the real method of interpolation. 330 $aThis book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. The book discusses the relationship between the properties of the Rademacher system and geometry of some function spaces. It consists of three parts, in which this system is considered respectively in Lp-spaces, in general symmetric spaces and in certain classes of non-symmetric spaces (BMO, Paley, Cesaro, Morrey). The presentation is clear and transparent, providing all main results with detailed proofs. Moreover, literary and historical comments are given at the end of each chapter. This book will be suitable for graduate students and researchers interested in functional analysis, theory of functions and geometry of Banach spaces. 606 $aFunctional analysis 606 $aProbabilities 606 $aOperator theory 606 $aMathematical analysis 606 $aFunctional Analysis 606 $aProbability Theory 606 $aOperator Theory 606 $aIntegral Transforms and Operational Calculus 615 0$aFunctional analysis. 615 0$aProbabilities. 615 0$aOperator theory. 615 0$aMathematical analysis. 615 14$aFunctional Analysis. 615 24$aProbability Theory. 615 24$aOperator Theory. 615 24$aIntegral Transforms and Operational Calculus. 676 $a515.7 676 $a515.7 700 $aAstashkin$b Sergey V$4aut$4http://id.loc.gov/vocabulary/relators/aut$0927212 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484588103321 996 $aSistema rademakhera v funktsional'nykh prostranstvakh$92909501 997 $aUNINA