Morrey Spaces

Introduction and Applications to Integral Operators and PDE’s, Volumes I & II
1. Auflage 2020
ISBN: 978-0-367-45917-8
Verlag: Taylor & Francis

Buch, Englisch, 928 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 1880 g

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

Across two volumes, the authors of this book discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with focus on harmonic analysis in volume I and generalizations and interpolation of Morrey spaces in volume II.

Autoren/Hrsg.

Sawano, Yoshihiro

Di Fazio, Giuseppe

Hakim, Denny Ivanal

Fachgebiete

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

Inhaltsverzeichnis

Chapters in Volume I

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.

Chapters in Volume II

11. Multilinear operators and Morrey spaces. 12. Generalized Morrey/Morrey-Campanato spaces. 13. Generalized Orlicz-Morrey spaces. 14. Morrey spaces over metric measure spaces. 15. Weighted Morrey spaces. 16. Morrey-type spaces. 17. Pointwise product. 18. Real interpolation of Morrey spaces. 19. Complex interpolation of 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.