Sharp Real-Part Theorems

A Unified Approach
2007
ISBN: 978-3-540-69573-8
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1903, 145 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 260 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Kresin, Gershon

Maz'ya, Vladimir

Shaposhnikova, T.

Weitere Mitwirkende

Shaposhnikova, T.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder

Inhaltsverzeichnis

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.