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/