Sharp real-part theorems : a unified approach

Sharp real-part theorems a unified approach

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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
Otros Autores: Kresin, Gershon, author (author), Mazʹi︠a︡, V. G., author (editor), Shaposhnikova, T. O., editor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin ; Heidelberg : Springer-Verlag 2007.
Edición:1st ed. 2007.
Colección:Lecture notes in mathematics (Springer-Verlag) ; Volume 1903.
Materias:
Analytic functions.
Approximation theory.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461040406719
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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