Distortion theorems in relation to linear integral operators

Author(s)

• 小松, 勇作 コマツ, ユウサク

Bibliographic Information

Distortion theorems in relation to linear integral operators

by Yûsaku Komatu

（Mathematics and its applications, v. 385）

Kluwer Academic, c1996

Note

Bibliography: p. [295]-300

Includes indexes

Description and Table of Contents

Description

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.

Table of Contents

• Part I: integral operators
• basic integral operators
• properties of integral operators
• applications. Part II: distortion theorems
• distortions on univalent functions
• distortions on real part
• distortions on miscellaneous functionals.

by "Nielsen BookData"

Details

• NCID: BA29039748
• ISBN:
  • 0792343042
• LCCN: 96036622
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Dordrecht
• Pages/Volumes: viii, 305 p.
• Size: 25 cm
• Classification:
  • LCC : QA329.6
  • DC20 : 515/.723
• Subject Headings:
  • LCSH : Integral operators
• Parent Bibliography ID:
  • BA00044495