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 PDEs 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 PDEs or Geometry
  • Replete with exercises and examples to aid the reader’s understanding

The Open Access version of this book, available at https://www.taylorfrancis.com, has been made available under a Creative Commons [Attribution-Non Commercial-No Derivatives (CC BY-NC-ND)] 4.0 license.

chapter Chapter 11|16 pages

Multilinear operators and Morrey spaces

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chapter Chapter 12|58 pages

Generalized Morrey/Morrey—Campanato spaces

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chapter Chapter 13|30 pages

Generalized Orlicz—Morrey spaces

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chapter Chapter 14|42 pages

Morrey spaces over metric measure spaces

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chapter Chapter 15|70 pages

Weighted Morrey spaces

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chapter Chapter 16|26 pages

Morrey-type spaces

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chapter Chapter 17|50 pages

Pointwise product

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chapter Chapter 18|36 pages

Real interpolation of Morrey spaces

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chapter Chapter 19|42 pages

Complex interpolation of Morrey spaces

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