Distortion Theorems in Relation to Linear Integral Operators: 385 (Mathematics and Its Applications) - Tapa blanda

Komatu, Y.

 
9789401062817: Distortion Theorems in Relation to Linear Integral Operators: 385 (Mathematics and Its Applications)
Tapa blanda
ISBN 10: 9401062811 ISBN 13: 9789401062817
Editorial: Springer, 2012

Sinopsis

The present monograph consists of two parts. Before Part I, a chapter of introduction is supplemented, where an overview of the whole volume is given for reader’s convenience. The former part is devoted mainly to expose linear inte­ gral operators introduced by the author. Several properties of the operators are established, and specializations as well as generalizations are attempted variously in order to make use them in the latter part. As compared with the former part, the latter part is de­ voted mainly to develop several kinds of distortions under actions of integral operators for various familiar function­ also absolute modulus. real part. range. length and area. an­ gular derivative, etc. Besides them, distortions on the class of univalent functions and its subclasses, Caratheodory class as well as distortions by a differential operator are dealt with. Related differential operators play also active roles. Many illustrative examples will be inserted in order to help understanding of the general statements. The basic materials in this monograph are taken from a series of researches performed by the author himself chiefly in the past two decades. While the themes of the papers pub­ lished hitherto are necessarily not arranged chronologically Preface viii and systematically, the author makes here an effort to ar­ range them as ,orderly as possible. In attaching the import­ ance of the self-containedness to the book, some of unfamil­ iar subjects will also be inserted and, moreover, be wholly accompanied by their respective proofs, though unrelated they may be.

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Reseña del editor

The present monograph consists of two parts. Before Part I, a chapter of introduction is supplemented, where an overview of the whole volume is given for reader's convenience. The former part is devoted mainly to expose linear inte­ gral operators introduced by the author. Several properties of the operators are established, and specializations as well as generalizations are attempted variously in order to make use them in the latter part. As compared with the former part, the latter part is de­ voted mainly to develop several kinds of distortions under actions of integral operators for various familiar function­ also absolute modulus. real part. range. length and area. an­ gular derivative, etc. Besides them, distortions on the class of univalent functions and its subclasses, Caratheodory class as well as distortions by a differential operator are dealt with. Related differential operators play also active roles. Many illustrative examples will be inserted in order to help understanding of the general statements. The basic materials in this monograph are taken from a series of researches performed by the author himself chiefly in the past two decades. While the themes of the papers pub­ lished hitherto are necessarily not arranged chronologically Preface viii and systematically, the author makes here an effort to ar­ range them as ,orderly as possible. In attaching the import­ ance of the self-containedness to the book, some of unfamil­ iar subjects will also be inserted and, moreover, be wholly accompanied by their respective proofs, though unrelated they may be.

Reseña del editor

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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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
9401062811
ISBN 13 
9789401062817
Encuadernación
Tapa blanda
Número de páginas
324
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9780792343042: Distortion Theorems in Relation to Linear Integral Operators: v. 385 (Mathematics and its Applications)

Edición Destacada

ISBN 10:  0792343042 ISBN 13:  9780792343042
Editorial: Springer, 1996
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