Extrapolation theory for the real interpolation method

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

ISSN: 0010-0757

Year of publication: 2002

Volume: 53

Fascicle: 2

Pages: 165-186

Type: Article

DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Collectanea mathematica

Abstract

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.

Data source: Dialnet