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.
@article{urn:eudml:doc:42902,
title = {Extrapolation theory for the real interpolation method.},
journal = {Collectanea Mathematica},
volume = {53},
year = {2002},
pages = {165-186},
zbl = {1034.46077},
mrnumber = {MR1913516},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42902}
}
Carro, María J.; Martín, Joaquim. Extrapolation theory for the real interpolation method.. Collectanea Mathematica, Tome 53 (2002) pp. 165-186. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42902/