Extrapolation theory for the real interpolation method

  1. Martín, Joaquín
  2. Carro Rossell, María Jesús
Revista:
Collectanea mathematica

ISSN: 0010-0757

Any de publicació: 2002

Volum: 53

Fascicle: 2

Pàgines: 165-186

Tipus: Article

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Altres publicacions en: Collectanea mathematica

Resum

We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega.

Fuente de los datos: Dialnet