Mobius Invariant QK Spaces

This monograph summarizes the recent major achievements in Möbius invariant QK spaces. First introduced by Hasi Wulan and his collaborators, the theory of QK spaces has developed immensely in the last two decades, and the topics covered in this book will be helpful to graduate students and new researchers interested in the field. Featuring a wide range of subjects, including an overview of QK spaces, QK-Teichmüller spaces, K-Carleson measures and analysis of weight functions, this book serves as an important resource for analysts interested in this area of complex analysis. Notes, numerous exercises, and a comprehensive up-to-date bibliography provide an accessible entry to anyone with a standard graduate background in real and complex analysis.

Summarizes recent activity, developments, and major achievements in the area of QK-spaces Includes exercises, notes, and a comprehensive bibliography for better understanding of the topics Accessible to graduate students and new researchers in the area of real and complex analysis Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras

Autorentext
Hasi Wulan is a professor, Ph.D supervisor, and the current Vice President of Shantou University. His research areas are function spaces and theory of operators as well as holomorphic functions of one and several complex variables.
Kehe Zhu is a professor in the Department of Mathematics and Statistics at the State University of New York at Albany. His research interests include operators on holomorphic function spaces, complex analysis, and operator theory and operator algebras.

Inhalt

1. Mobius Invariant Function Spaces.- 2. QK Spaces.- 3. Analysis of Weight Functions.- 4. K-Carleson Measures.- 5. QK Spaces via Other Derivatives.- 6. Taylor Series and QK Spaces.- 7. Decompositions and Interpolation.- 8. QK-Teichmuller Spaces.- 9. Additional Topics.- References.- Index.