Extrapolation theory for the real interpolation method

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

ISSN: 0010-0757

Datum der Publikation: 2002

Ausgabe: 53

Faszikel: 2

Seiten: 165-186

Art: Artikel

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Andere Publikationen in: Collectanea mathematica

Zusammenfassung

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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