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Sharp Real-Part Theorems: A Unified Approach
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Catalogue Information
Field name
Details
Dewey Class
515.9
Title
Sharp Real-Part Theorems ([Ebook]) : A Unified Approach / by Vladimir Maz'ya, Gershon Kresin.
Author
Maz'ya, Vladimir G. , 1937-
Added Personal Name
Kresin, Gershon
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer-Verlag , 2007
Physical Details
xv, 140 pages : online resource
Series
Lecture Notes in Mathematics
0075-8434 ; 1903
ISBN
9783540695745
Summary Note
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.Review: 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):
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/3-540-69573-7
Links to Related Works
Subject References:
Analytic functions
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Approximation theory
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Functions of complex variables
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Potential Theory
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Potential theory (Mathematics)
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Authors:
Kresin, Gershon
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Maz'ya, Vladimir G. 1937-
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See Also:
Mazʹja, Vladimir Gilelevič, 1937-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515.9
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515.9 (DDC 22)
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