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The Hardy Space H1 with Non-doubling Measures and Their Applications

The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these discoveries, their consequences and some of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Yang, Dachun (Autor), Yang, Dongyong (Autor), Hu, Guoen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Lecture Notes in Mathematics, 2084
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preliminaries
  • Approximations of the Identity
  • The Hardy Space H1(μ)
  • The Local Atomic Hardy Space h1(μ)
  • Boundedness of Operators over (RD, μ)
  • Littlewood-Paley Operators and Maximal Operators Related to Approximations of the Identity
  • The Hardy Space H1 (χ, υ)and Its Dual Space RBMO (χ, υ)
  • Boundedness of Operators over((χ, υ)
  • Bibliography
  • Index
  • Abstract.