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Author Kresin, Gershon.
Title Sharp real-part theorems : a unified approach / Gershon Kresin, Vladimir Maz'ya ; translated from Russian and edited by T. Shaposhnikova.
Imprint Berlin ; New York : Springer, 2007.

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Author Kresin, Gershon.
Series Lecture notes in mathematics, 0075-8434 ; 1903
Lecture notes in mathematics (Springer-Verlag) ; 1903.
Subject Analytic functions.
Approximation theory.
Alt Name Mazʹi︠a︡, V. G.
Description 1 online resource (xv, 140 pages).
Bibliography Note Includes bibliographical references (pages 129-133) and index.
Summary "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."--Jacket.
Access Use copy Restrictions unspecified star
Reproduction Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
System Details Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents 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.
Note Print version record.
ISBN 9783540695745
Publisher # 11970422
OCLC # 185027035
Additional Format Print version: Kresin, Gershon. Sharp real-part theorems. Berlin ; New York : Springer, 2007 9783540695738 (DLC) 2006940398 (OCoLC)86075509

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