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Global and local regularity of fourier integral operators on weighted and unweighted spaces /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ferreira, David Dos Santos, 1975- (Autor), Staubach, Wolfgang, 1970- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2013.
Colección:Memoirs of the American Mathematical Society ; Volume 229, no. 1074.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Introduction""; ""Chapter 1. Prolegomena""; ""1.1. Definitions, notations and preliminaries""; ""1.2. Tools in proving ^{ } boundedness""; ""1.3. Links between nonsmoothness and global boundedness""; ""Chapter 2. Global Boundedness of Fourier Integral Operators""; ""2.1. Global ¹ boundedness of rough Fourier integral operators""; ""2.2. Local and global ² boundedness of Fourier integral operators""; ""2.3. Global ^{â?ž} boundedness of rough Fourier integral operators""; ""2.4. Global ^{ }- ^{ } and ^{ }- ^{ } boundedness of Fourier integral operators""
  • Chapter 3. Global and Local Weighted ^{ } Boundedness of Fourier Integral Operators3.1. Tools in proving weighted boundedness
  • 3.2. Counterexamples in the context of weighted boundedness
  • 3.3. Invariant formulation in the local boundedness
  • 3.4. Weighted local and global ^{ } boundedness of Fourier integral operators
  • Chapter 4. Applications in Harmonic Analysis and Partial Differential Equations
  • 4.1. Estimates in weighted Triebel-Lizorkin spaces
  • 4.2. Commutators with BMO functions
  • 4.3. Applications to hyperbolic partial differential equations