Morrey Spaces

In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. There are three main claims concerning these spaces that are covered: determining the integrability classes of the trace of Riesz potentials of an arbitrary...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Adams, David (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Colección:Lecture Notes in Applied and Numerical Harmonic Analysis,
Temas:
Harmonic analysis.
Differential equations.
Functional analysis.
Operator theory.
Abstract Harmonic Analysis.
Differential Equations.
Functional Analysis.
Operator Theory.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Function Spaces
  • Hausforff Capacity
  • Choquet Integrals
  • Duality for Morrey Spaces
  • Maximal Operators and Morrey Spaces
  • Potential Operators on Morrey Spaces
  • Singular Integrals on Morrey Spaces
  • Morrey-Sobolev Capacities
  • Traces of Morrey Potentials
  • Interpolation of Morrey Spaces
  • Commutators of Morrey Potentials
  • Mock Morrey Spaces
  • Morrey-Besov Spaces and Besov Capacities
  • Morrey Potentials and PDE I
  • Morrey Potentials and PDE II
  • Morrey Spaces on Complete Riemannian Manifolds.

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