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Distortion theorems in relation to linear integral operators
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Distortion theorems in relation to linear integral operators

Author: Yūsaku Komatsu
Publisher: Dordrecht ; Boston : Kluwer Academic Publishers, ©1996.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 385.
Edition/Format: Book : English
Summary:
This book represents over twenty years of research on distortions of functionals under actions of linear integral operators. It is divided into two parts. The first part addresses linear integral operators, establishing their properties and attempting to arrive at both specialisations as well as generalisations to be used in the second part. The second part is devoted mainly to the development of several kinds of
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Details

Document Type: Book
All Authors / Contributors: Yūsaku Komatsu
ISBN: 0792343042 9780792343042
OCLC Number: 35637630
Description: viii, 305 p. ; 25 cm.
Contents: Ch. 1. Basic integral operators -- Ch. 2. Properties of integral operators -- Ch. 3. Applications -- Ch. 4. Distortions on univalent functions -- Ch. 5. Distortions on real part -- Ch. 6. Distortions on miscellaneous functionals.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 385.
Responsibility: by Yûsaku Komatu.

Abstract:

This book represents over twenty years of research on distortions of functionals under actions of linear integral operators. It is divided into two parts. The first part addresses linear integral operators, establishing their properties and attempting to arrive at both specialisations as well as generalisations to be used in the second part. The second part is devoted mainly to the development of several kinds of distortions under actions of integral operators for various familiar functionals. Among the topics that are treated are absolute modulus, real part, range, length and area, angular derivative, etc. Also, distortions on the class of univalent functions and its subclasses, Caratheodory class, and distortions by a differential operator are dealt with.

This volume will be of interest to researchers and graduate students whose work involves complex analysis, integral transforms, operational calculus and operator theory. The volume is self-contained, giving many proofs, and is suitable for private study as well as for seminars.

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