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On the differential structure of metric measure spaces and applications /

"The main goals of this paper are: (i) To develop an abstract differential calculus on metric measure spaces by investigating the duality relations between differentials and gradients of Sobolev functions. This will be achieved without calling into play any sort of analysis in charts, our assum...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gigli, Nicola (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2015.
Colección:Memoirs of the American Mathematical Society ; no. 1113.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Preliminaries
  • Differentials and gradients
  • Laplacian
  • Comparison estimates
  • Appendix A: On the duality between cotangent and tangent spaces
  • Appendix B: Remarks about the definition of the Sobolev classes
  • References.