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＜電子ブック＞
Sharp Real-Part Theorems : A Unified Approach / by Gershon Kresin, Vladimir Maz'ya ; edited by T. Shaposhnikova
(Lecture Notes in Mathematics. ISSN:16179692 ; 1903)

版	1st ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XV, 145 p : online resource
著者標目	*Kresin, Gershon author Maz'ya, Vladimir author Shaposhnikova, T editor SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Potential theory (Mathematics) FREE:Functions of a Complex Variable FREE:Potential Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/3-540-69573-7

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