Sharp Real-Part Theorems

A Unified Approach

  • Vladimir Maz'ya
  • Gershon Kresin

Part of the Lecture Notes in Mathematics book series (LNM, volume 1903)

About this book


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.


Sharp Sharp estimates Volume analytic function analytic functions approximation derivative equation harmonic functions history of mathematics knowledge number theory power series real part theorem

Authors and affiliations

  • Vladimir Maz'ya
    • 1
    • 2
    • 3
  • Gershon Kresin
    • 4
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK
  3. 3.Department of MathematicsLinköping UniversityLinköpingSweden
  4. 4.Department of Computer Science and MathematicsCollege of Judea and Samaria44837Israel

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-69573-8
  • Online ISBN 978-3-540-69574-5
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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