Lecture Notes in Mathematics

Sharp Real-Part Theorems

A Unified Approach

Authors: Kresin, Gershon, Maz'ya, Vladimir

Editors: Shaposhnikova, T. (Ed.)

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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)


Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-69574-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.00
price for USA
  • ISBN 978-3-540-69573-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Sharp Real-Part Theorems
Book Subtitle
A Unified Approach
Authors
Editors
  • T. Shaposhnikova
Translated by
Shaposhnikova, T.
Series Title
Lecture Notes in Mathematics
Series Volume
1903
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69574-5
DOI
10.1007/3-540-69573-7
Softcover ISBN
978-3-540-69573-8
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XV, 145
Topics