Sharp Real-Part Theorems A Unified Approach /

• Κύριοι συγγραφείς: Maz'ya, Vladimir (Συγγραφέας), Kresin, Gershon (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Σειρά: Lecture Notes in Mathematics, 1903
• Θέματα: Mathematics.; Functions of complex variables.; Potential theory (Mathematics).; Functions of a Complex Variable.; Potential Theory.

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...

Πίνακας περιεχομένων:

• 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.