Distortion Theorems in Relation to Linear Integral Operators: v. 385 (Mathematics and its Applications) - Hardcover

Komatu, Yusaku

 
9780792343042: Distortion Theorems in Relation to Linear Integral Operators: v. 385 (Mathematics and its Applications)
Hardcover
ISBN 10: 0792343042 ISBN 13: 9780792343042
Publisher: Kluwer Academic Publishers, 1996

Synopsis

This text represents over 20 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 specializations as well as generalizations 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 and derivative. Also, distortions on the class of univalent functions and its subclasses, Caratheodory class, and distortions by a differential operator are dealt with.

"synopsis" may belong to another edition of this title.

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.

"About this title" may belong to another edition of this title.

Publisher
Kluwer Academic Publishers
Publication date
1996
Language
English
ISBN 10 
0792343042
ISBN 13 
9780792343042
Binding
Hardcover
Number of pages
320

Other Popular Editions of the Same Title

9789401062817: Distortion Theorems in Relation to Linear Integral Operators: 385 (Mathematics and Its Applications, 385)

Featured Edition

ISBN 10:  9401062811 ISBN 13:  9789401062817
Publisher: Springer, 2012
Softcover