Foundations of Symmetric Spaces of Measurable Functions Lorentz, Marcinkiewicz and Orlicz Spaces /

Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and research...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rubshtein, Ben-Zion A. (Autor), Grabarnik, Genady Ya (Autor), Muratov, Mustafa A. (Autor), Pashkova, Yulia S. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Developments in Mathematics, 45
Temas:
Functional analysis.
Measure theory.
Functions of complex variables.
Manifolds (Mathematics).
Functional Analysis.
Measure and Integration.
Several Complex Variables and Analytic Spaces.
Manifolds and Cell Complexes.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1.Definition of the symmetric space
  • 2.Spaces Lp
  • 3.The space L1 ∩ L ∞
  • 4. The space L1+L∞
  • 5. The embedding L1 ∩L∞ ⊆ X ⊆ L1+L∞ ⊆ L0
  • 6. Embeddings, Minimality and Separability: The property
  • 7. Associated Spaces
  • 8. Maximality Properties (B) and (C)
  • 9. Lorentz spaces
  • 10. Quasi-concave functions
  • 11. Marcinkiewicz spaces
  • 12. Embedding
  • 13. Definition and examples of Orlicz spaces
  • 14. Separable Orlicz Spaces
  • 15. Duality for Orlicz spaces
  • 16. Comparison of Orlicz spaces
  • 17. The intersection and sum of Orlicz spaces.- Complements
  • Index.

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