Sharp Real-Part Theorems

A Unified Approach

AvGershon Kresin,Vladimir Maz'ya

Häftad, Engelska, 2007

Del 1903 i serien Lecture Notes in Mathematics

324 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2007-03-02
Mått:155 x 235 x 10 mm
Vikt:260 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:145
Upplaga:2007
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540695738
Översättare:T. Shaposhnikova

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "The subject matter of the book under review is a unified approach to sharp pointwise estimates for analytic functions ... . An index, a list of symbols and 92 references are also provided. Analysts will find this book as an excellent resource for 'real-part theorems' and related inequalities. One can expect rich opportunities for extending the indicated inequalities to analytic functions of several complex variables and solutions of partial differential equations. This work is a welcome addition to the literature." (George Csordas, Zentralblatt MATH, Vol. 1117 (19), 2007)

Innehållsförteckning

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.