Sharp real-part theorems : a unified approach

Author(s)

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

Bibliographic Information

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

Note

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

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

Description and Table of Contents

Description

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.

Table of 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.

by "Nielsen BookData"

Details

• NCID: BA81159992
• ISBN:
  • 9783540695738
• LCCN: 2006940398
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: rus
• Place of Publication: Berlin
• Pages/Volumes: xv, 140 p.
• Size: 24 cm
• Classification:
  • SG : 510
  • DC22 : 515.73
• Subject Headings:
  • LCSH : Analytic functions
  • LCSH : Approximation theory
• Parent Bibliography ID:
  • BA00146586