We show that the transference method of Coifman and Weiss can be extended to Hardy and Sobolev spaces. As an application we obtain the de Leeuw restriction theorems for multipliers.
@article{bwmeta1.element.bwnjournal-article-cmv74i1p47bwm,
author = {Maria Carro and Javier Soria},
title = {Transference theory onHardy and Sobolev spaces},
journal = {Colloquium Mathematicae},
volume = {72},
year = {1997},
pages = {47-69},
zbl = {1056.42510},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv74i1p47bwm}
}
Carro, Maria; Soria, Javier. Transference theory onHardy and Sobolev spaces. Colloquium Mathematicae, Tome 72 (1997) pp. 47-69. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv74i1p47bwm/
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