Partial retractions for weighted Hardy spaces

Kisliakov, Sergei; Xu, Quanhua

Studia Mathematica, Tome 141 (2000), p. 251-264 / Harvested from The Polish Digital Mathematics Library

Résumé

Let 1 ≤ p ≤ ∞ and let $w_{0}, w_{1}$ be two weights on the unit circle such that $l o g (w_{0} w_{1}^{- 1}) \in B M O$ . We prove that the couple $(H_{p} (w_{0}), H_{p} (w_{1}))$ of weighted Hardy spaces is a partial retract of $(L_{p} (w_{0}), L_{p} (w_{1}))$ . This completes previous work of the authors. More generally, we have a similar result for finite families of weighted Hardy spaces. We include some applications to interpolation.

Publié le : 2000-01-01

Zbl 0961.42017

EUDML-ID : urn:eudml:doc:216703

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     author = {Sergei Kisliakov and Quanhua Xu},
     title = {Partial retractions for weighted Hardy spaces},
     journal = {Studia Mathematica},
     volume = {141},
     year = {2000},
     pages = {251-264},
     zbl = {0961.42017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv138i3p251bwm}
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Kisliakov, Sergei; Xu, Quanhua. Partial retractions for weighted Hardy spaces. Studia Mathematica, Tome 141 (2000) pp. 251-264. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv138i3p251bwm/

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