Distortion Theorems in Relation to Linear Integral Operators (Mathematics and Its Applications (closed), Band 385) - Hardcover

Komatu, Y.

Hardcover

ISBN 10: 0792343042 ISBN 13: 9780792343042

Verlag: Springer, 1996

Inhaltsangabe

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.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1996
• Sprache: Englisch
• ISBN 10: 0792343042
• ISBN 13: 9780792343042
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 312
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Deutschland