Distortion Theorems in Relation to Linear Integral Operators

Yusaku Komatu

ISBN 10: 0792343042 / ISBN 13: 9780792343042

Published by Springer Okt 1996, 1996

About this Item

Neuware - 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, Carathéodory class, and distortions by a differential operator are dealt with. Audience: 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.

Seller Inventory # 9780792343042

Bibliographic Details

• Title: Distortion Theorems in Relation to Linear Integral Operators
• Publisher: Springer Okt 1996
• Publication Date: 1996
• Language: English
• ISBN 10: 0792343042
• ISBN 13: 9780792343042
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 24D millimeters 241 millimeters width by 160 millimeters height by 24 millimeters depth
• Weight: 653 grams

About this title

Synopsis

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, Carathéodory class, and distortions by a differential operator are dealt with.
Audience: 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.

From the Back Cover

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.