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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 I focused mainly on harmonic analysis. 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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Keywords
- Finite Dimensional Linear Space
- Finite Dimensional Normed Space
- Harmonic analysis
- harmonic functions
- Harmonic Polynomials
- Hilbert space
- Homogeneous Degree
- Homogeneous Polynomials
- Integral Operators
- Integration Theory
- Morrey spaces
- PDE
- Polynomial Space
- Preliminary Facts
- Riesz Representation Theorem
- Spherical Harmonic
- Spherical Harmonic Functions
- Stokes Theorem
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
Links
DOI: 10.1201/9780429085925Editions