Beschreibung:
Yoshihiro Sawano is associate professor in Department of Mathematics and Information Sciences at Tokyo Metropolitan University. Before joining Tokyo Metropolitan University in 2012, he served as assistant professor at Kyoto University from November 2009 to March 2012. Yoshihiro received PhD from The University of Tokyo in the year 2006. His research interests include harmonic analysis and the reproducing kernel Hilbert spaces
Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE's discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume I focused mainly on harmonic analysis.
1. Banach function lattices. 2. Fundamental facts in functional analysis. 3. Polynomials and harmonic functions. 4. Various operators in Lebesgue spaces. 5. BMO spaces and Morrey-Campanato spaces. 6. General metric measure spaces. 7. Weighted Lebesgue spaces. 8. Approximations in Morrey spaces. 9. Predual of Morrey spaces. 10. Linear and sublinear operators in Morrey spaces. Bibliography. Index.