Extrapolation theory for the real interpolation method

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

ISSN: 0010-0757

Année de publication: 2002

Volumen: 53

Fascículo: 2

Pages: 165-186

Type: Article

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D'autres publications dans: Collectanea mathematica

Résumé

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.

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