Morrey Spaces

Introduction and Applications to Integral Operators and PDE's, Volume I
1. Auflage 2020
ISBN: 978-1-4987-6551-0
Verlag: Chapman and Hall/CRC

Buch, Englisch, 502 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 913 g

Reihe: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

The contents of this book are dedicated to the theoretical aspect of Morrey spaces. In addition, applications to PDEs is provided. Some of the topics described include Bilinear estimates, Boundedness of pseudo-differential operators; Elliptic differential operators and Fractional integral operators. This book gives examples in many fields of analysis, functional analysis, Fourier analysis and so on. Many concrete Banach spaces appear as well as the boundedness of the operators. In addition, the reader will grasp important notions of reflexivity and separability of Banach spaces. Finally, interpolation theory is also covered.

Autoren/Hrsg.

Sawano, Yoshihiro

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.

Über Autor(innen)

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.

Giuseppe Di Fazio is Full Professor at University of Catania. He received his PhD in Mathematics in 1992 from University of Catania. He has worked as visiting professor at many universities around the world including Temple University, MSRI at Berkeley, University of Kyoto, Universita Autonoma de Madrid, ITB at Bandung Indonesia and Tokyo Metropolitan University. His research interests is focused on regularity problems for elliptic PDEs and boundedness properties of integral operators acting on Morrey spaces.

Denny Ivanal Hakim is a lecturer at Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology since 2014. He obtained his PhD in Mathematics at Tokyo Metropolitan University in 2018 under supervision of Professor Yoshihiro Sawano and his bachelor’s and asters’ from Bandung Institute of Technology. His research interests include boundedness of integral operators in Morrey spaces, interpolation of Morrey spaces, and other function spaces, and also regularity theory of elliptic partial differential equations. He has authored or co-authored more than 20 research articles.