02949nam 2200649 450 991048429810332120220819083010.01-280-80493-997866108049313-540-69574-510.1007/3-540-69573-7(CKB)1000000000282933(EBL)3036559(SSID)ssj0000245303(PQKBManifestationID)11186456(PQKBTitleCode)TC0000245303(PQKBWorkID)10175586(PQKB)10319016(DE-He213)978-3-540-69574-5(MiAaPQ)EBC3036559(MiAaPQ)EBC6812348(Au-PeEL)EBL6812348(OCoLC)1110820708(PPN)12315961X(EXLCZ)99100000000028293320220819d2007 uy 0engur|n|---|||||txtccrSharp real-part theorems a unified approach /Gershon Kresin, Vladimir Maz'ya ; translated from Russian and edited by T. Shaposhnikova1st ed. 2007.Berlin ;Heidelberg :Springer-Verlag,2007.1 online resource (152 p.)Lecture Notes in Mathematics ;Volume 1903Description based upon print version of record.3-540-69573-7 Includes bibliographical references (p. 129-133) and index.Estimates 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.This 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.Lecture notes in mathematics (Springer-Verlag) ;Volume 1903.Analytic functionsApproximation theoryAnalytic functions.Approximation theory.515.9Kresin Gershon301553Mazʹi︠a︡ V. G.Shaposhnikova T. O.MiAaPQMiAaPQMiAaPQBOOK9910484298103321Sharp Real-Part Theorems2569449UNINA