Mobius Invariant QK Spaces

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.

“The book has a comprehensive and up-to-date bibliography, which is a valuable asset to any researcher in the field. … Without a question, the book under review is useful for the student contemplating working in the field. I am also happy to notice that the book has something to offer for researchers at all levels, as it is a thorough and illuminating presentation of the current state of the theory.” (Janne Gröhn, Mathematical Reviews, March, 2018)“This comprehensive monograph summarizes the main results about QK spaces obtained since the beginning of this century. It is reader-friendly, well written, self-contained and well structured. … this book will be useful to researchers interested in this field under active development. Moreover, each chapter ends with a list of exercises and it would be an excellent textbook for advanced students with a good background in real and complex analysis.” (Joan Fàbrega, zbMATH 1387.30001, 2018)

• 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.