Sharp real-part theorems : a unified approach

著者

• Kresin, Gershon
• Mazʹi︠a︡, V. G.
• Shaposhnikova, T. O. (Tatʹi︠a︡na Olegovna)

書誌事項

Sharp real-part theorems : a unified approach

Gershon Kresin, Vladimir Maz'ya ; translated from Russian and edited by T. Shaposhnikova

（Lecture notes in mathematics, 1903）

Springer, c2007

注記

Includes bibliographical references (p. [129]-133) and index

http://dx.doi.org/10.1007/3-540-69573-7

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

• NII書誌ID(NCID): BA81159992
• ISBN:
  • 9783540695738
• LCCN: 2006940398
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Berlin
• ページ数/冊数: xv, 140 p.
• 大きさ: 24 cm
• 分類:
  • SG : 510
  • DC22 : 515.73
• 件名:
  • LCSH : Analytic functions
  • LCSH : Approximation theory
• 親書誌ID:
  • BA00146586