LEADER 02949nam  2200649   450 
001 9910484298103321
005 20220819083010.0
010   $a1-280-80493-9
010   $a9786610804931
010   $a3-540-69574-5
024 7 $a10.1007/3-540-69573-7
035   $a(CKB)1000000000282933
035   $a(EBL)3036559
035   $a(SSID)ssj0000245303
035   $a(PQKBManifestationID)11186456
035   $a(PQKBTitleCode)TC0000245303
035   $a(PQKBWorkID)10175586
035   $a(PQKB)10319016
035   $a(DE-He213)978-3-540-69574-5
035   $a(MiAaPQ)EBC3036559
035   $a(MiAaPQ)EBC6812348
035   $a(Au-PeEL)EBL6812348
035   $a(OCoLC)1110820708
035   $a(PPN)12315961X
035   $a(EXLCZ)991000000000282933
100   $a20220819d2007      uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSharp real-part theorems $ea unified approach /$fGershon Kresin, Vladimir Maz'ya ; translated from Russian and edited by T. Shaposhnikova
205   $a1st ed. 2007.
210  1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d2007.
215   $a1 online resource (152 p.)
225 1 $aLecture Notes in Mathematics ;$vVolume 1903
300   $aDescription based upon print version of record.
311   $a3-540-69573-7 
320   $aIncludes bibliographical references (p. 129-133) and index.
327   $aEstimates for analytic functions bounded with respect to their real part -- Estimates for analytic functions with respect to the Lp-norm of R?f on the circle -- Estimates for analytic functions by the best Lp-approximation of Rf on the circle -- Estimates for directional derivatives of harmonic functions -- Estimates for derivatives of analytic functions -- Bohr's type real part estimates -- Estimates for the increment of derivatives of analytic functions.
330   $aThis volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1903.
606   $aAnalytic functions
606   $aApproximation theory
615  0$aAnalytic functions.
615  0$aApproximation theory.
676   $a515.9
700   $aKresin$b Gershon$0301553
702   $aMaz?i?a?$b V. G.
702   $aShaposhnikova$b T. O.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484298103321
996   $aSharp Real-Part Theorems$92569449
997   $aUNINA