Extrapolation theory for the real interpolation method.

Carro, María J., and Martín, Joaquim. "Extrapolation theory for the real interpolation method.." Collectanea Mathematica 53.2 (2002): 165-186. <http://eudml.org/doc/42902>.

@article{Carro2002,
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.},
author = {Carro, María J., Martín, Joaquim},
journal = {Collectanea Mathematica},
keywords = {Análisis funcional; Extrapolación; Interpolación; Inclusiones; Teorema de Yano; real interpolation; extrapolation; Yano's theorem; Zygmund's theorem; Sobolev embeddings},
language = {eng},
number = {2},
pages = {165-186},
title = {Extrapolation theory for the real interpolation method.},
url = {http://eudml.org/doc/42902},
volume = {53},
year = {2002},
}

TY - JOUR
AU - Carro, María J.
AU - Martín, Joaquim
TI - Extrapolation theory for the real interpolation method.
JO - Collectanea Mathematica
PY - 2002
VL - 53
IS - 2
SP - 165
EP - 186
AB - 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.
LA - eng
KW - Análisis funcional; Extrapolación; Interpolación; Inclusiones; Teorema de Yano; real interpolation; extrapolation; Yano's theorem; Zygmund's theorem; Sobolev embeddings
UR - http://eudml.org/doc/42902
ER -