Sharp real-part theorems: A unified approach

Gershon Kresin, Vladimir Maz'ya

Research output: Book/ReportBookpeer-review

33 Scopus citations

Abstract

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.
Original languageEnglish
Place of PublicationBerlin, Heidelberg
Number of pages140
ISBN (Electronic)1280804939, 3540695737, 3540695745, 9783540695738, 9786610804931
DOIs
StatePublished - 2007

Publication series

NameLecture Notes in Mathematics
Volume1903
ISSN (Print)0075-8434

ULI Keywords

  • uli
  • Functions of complex variables
  • Mathematics
  • Potential theory (Mathematics)
  • Complex variables -- Functions of complex variables
  • Math
  • Green's operators
  • Green's theorem
  • Potential functions (Mathematics)
  • Potential, Theory of

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