Generalized Weighted Composition Operators on Analytic Function Spaces

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Details

The study of composition operators and weighted composition operators lies at the interface of operator theory and function theory. Composition operators and weighted composition operators occur naturally in a variety of problems. Moreover, they are closely related to many famous problems, such as invariant subspace problem, Bieberbach's conjecture and Brennan's conjecture. This book is a collection of my recent published papers in area of "Generalized weighted composition operators on analytic function spaces". The book consists of five chapters, organized as follows. In chapter 1, we briefly recall the history of composition operators and weighted composition operators on some function spaces in the unit disk. In Chapter 2 we introduce some concepts used in this book. In Chapter 3 we study generalized weighted composition operators on Bloch type spaces. The differences of generalized weighted composition operators on Bloch type spaces are also investigated. In Chapter 4 we study generalized weighted composition operators on weighted Bergman spaces. In Chapter 5 we present some topics which require further research.

Autorentext

Xiangling Zhu was born in P.R. China. Presently, she is an associate professor of Jiaying University. She is mainly interested in operator theory on analytic function spaces. She serves as a Reviewer of Mathematical Reviews of American Mathematical Society.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09783330088726
    • Genre Maths
    • Sprache Englisch
    • Anzahl Seiten 152
    • Herausgeber LAP LAMBERT Academic Publishing
    • Größe H220mm x B150mm
    • Jahr 2017
    • EAN 9783330088726
    • Format Kartonierter Einband
    • ISBN 978-3-330-08872-6
    • Veröffentlichung 18.05.2017
    • Titel Generalized Weighted Composition Operators on Analytic Function Spaces
    • Autor Xiangling Zhu

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