Qα Analysis on Euclidean Spaces

Starting with the fundamentals of Qα spaces and their relationships to Besov spaces, this book presents all major results around Qα spaces obtained in the past 16 years. The applications of Qα spaces in the study of the incompressible Navier-Stokes system and its stationary form are also discussed. This self-contained book can be used as an essential reference for researchers and graduates in analysis and partial differential equations. A mathematically rigorous study of Qα Analysis on Euclidean spaces. Presents the advanced theories in an easy-to-understand way. Of interest to researchers and graduate students working in analysis and partial differential equations. The series is devoted to the publication of high-level monographs and specialized graduate texts which cover classical and modern analysis, partial differential equations with natural connections to geometry and the interplays between these fields and their applications to mathematical physics. Editor-in-Chief Jie Xiao, Memorial University, Canada Editorial Board Der-Chen Chang, Georgetown University, USA Goong Chen, Texas A&M University, USA Andrea Colesanti, University of Florence, Italy Robert McCann, University of Toronto, Canada De-Qi Zhang, National University of Singapore, Singapore Kehe Zhu, University at Albany, USA Please send any book proposals to Jie Xiao. Preface Contents 1. Groundwork 2 Estimation of John–Nirenberg type 3. Functional Hausdorff content 4. Gauss or Poisson lifting 5. Preduality and decomposition 6. Incompressible Navier–Stokes system 7. Left or right composition 8. Extension or restriction principle Bibliography Index