Sharp Real-Part Theorems: A Unified Appr
β Vladimir Maz'ya, Gershon Kresin (auth.)
π Library
π
2007
π Springer-Verlag Berlin Heidelberg
π English
β¦ LIBER β¦
π
Sharp Real-Part Theorems: A Unified Approach
β Scribed by Vladimir Maz'ya, Gershon Kresin (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2007
- Tongue
- English
- Leaves
- 153
- Series
- Lecture Notes in Mathematics 1903
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter....Pages I-XV
Estimates for analytic functions bounded with respect to their real part....Pages 1-16
Estimates for analytic functions with respect to the Lp-norm of RΞf on the circle....Pages 17-35
Estimates for analytic functions by the best L p -approximation of Rf on the circle....Pages 37-55
Estimates for directional derivatives of harmonic functions....Pages 57-67
Estimates for derivatives of analytic functions....Pages 69-98
Bohr's type real part estimates....Pages 99-114
Estimates for the increment of derivatives of analytic functions....Pages 115-128
Back Matter....Pages 129-144
β¦ Subjects
Functions of a Complex Variable; Potential Theory
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