Extrapolation theory for the real interpolation method.
Carro, María J. ; Martín, Joaquim
Collectanea Mathematica, Tome 53 (2002), p. 165-186 / Harvested from Biblioteca Digital de Matemáticas

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.

Publié le : 2002-01-01
DMLE-ID : 544
@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/