Sharp Real-Part Theorems
A Unified Approach
Published on 2. March 2007
Book
Paperback/Softback
XV, 145 pages
978-3-540-69573-8 (ISBN)
Description
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.
Reviews / Votes
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)
More details
Series
Edition
2007 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XV, 145 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
260 gr
ISBN-13
978-3-540-69573-8 (9783540695738)
DOI
10.1007/3-540-69573-7
Schweitzer Classification
Other editions
Additional editions
E-Book
03/2007
Springer
€29.99
Available for download
Persons
Content
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.