Sawano, Y. ; Di Fazio, G. ; Hakim, D. I.

2020
CRC Press, Taylor & Francis Group New York
ISBN: 9781003029076, 9780367459154

New York : CRC Press, Taylor & Francis Group, Monographs and research notes in mathematics 428 pages (2020) [10.1201/9781003029076]2020  

Abstract: 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

Keyword(s): Banach spaces (LCSH) ; harmonic analysis (LCSH) ; partial differential equations (LCSH) ; elliptic differential equations (LCSH) ; integral operators (LCSH)