Extrapolation theory for the real interpolation method

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

ISSN: 0010-0757

Ano de publicación: 2002

Volume: 53

Fascículo: 2

Páxinas: 165-186

Tipo: Artigo

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Outras publicacións en: Collectanea mathematica

Resumo

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.

Fonte de datos: Dialnet