Sharp Real-Part Theorems A Unified Approach /

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 an...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Kresin, Gershon (Autor), Maz'ya, Vladimir (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Shaposhnikova, T. (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Lecture Notes in Mathematics, 1903
Temas:
Functions of complex variables.
Potential theory (Mathematics).
Functions of a Complex Variable.
Potential Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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