Synopses & Reviews
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, CarathA(c)odory 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.
Book News Annotation:
Details 20 years of research on distortions of functionals under
actions of linear integral operators. Part I addresses linear
integral operators and their properties. Part II develops several
different kinds of distortions under actions of integral operators
for various familiar functionals. Specific subjects include
distortions on the class of univalent functions and its subclasses,
Caratheodory, and distortions by a differential operator. For
researchers and graduate students involved in complex analysis,
integral transforms, operational calculus, and operator theory.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Description:
Includes bibliographical references (p. [295]-300) and indexes.