Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1903)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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. Rich opportunities are anticipated to extend these inequalities to analytic functions of several complex variables and solutions of partial differential equations.
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Sharp Real-Part Theorems
Book Subtitle: A Unified Approach
Authors: Vladimir Maz'ya, Gershon Kresin
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/3-540-69573-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-540-69573-8Published: 02 March 2007
eBook ISBN: 978-3-540-69574-5Published: 05 March 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XV, 145