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Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volume II de Yoshihiro Sawano

Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volume II: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Autor Yoshihiro Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim
en Limba Engleză Hardback – 17 sep 2020
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics.
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 II focused mainly generalizations and interpolation of Morrey spaces.
Features
  • Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory
  • Suitable for graduate students, masters course students, and researchers in PDE's or Geometry
  • Replete with exercises and examples to aid the reader’s understanding
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Specificații

ISBN-13: 9780367459154
ISBN-10: 0367459159
Pagini: 428
Dimensiuni: 156 x 234 x 24 mm
Greutate: 1.56 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Locul publicării:Boca Raton, United States

Cuprins

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.

Notă biografică

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.

Descriere

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 the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces.