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

chapter Chapter 11|16 pages

Multilinear operators and Morrey spaces

chapter Chapter 12|56 pages

Generalized Morrey/Morrey—Campanato spaces

chapter Chapter 13|29 pages

Generalized Orlicz—Morrey spaces

chapter Chapter 14|40 pages

Morrey spaces over metric measure spaces

chapter Chapter 15|70 pages

Weighted Morrey spaces

chapter Chapter 16|25 pages

Morrey-type spaces

chapter Chapter 17|48 pages

Pointwise product

chapter Chapter 18|35 pages

Real interpolation of Morrey spaces

chapter Chapter 19|41 pages

Complex interpolation of Morrey spaces