$BMO_ψ$-spaces and applications to extrapolation theory

Geiss, Stefan

B M O_{ψ}

-spaces and applications to extrapolation theory

Geiss, Stefan

Studia Mathematica, Tome 122 (1997), p. 235-274 / Harvested from The Polish Digital Mathematics Library

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Résumé

We investigate a scale of $B M O_{ψ}$ -spaces defined with the help of certain Lorentz norms. The results are applied to extrapolation techniques concerning operators defined on adapted sequences. Our extrapolation works simultaneously with two operators, starts with $B M O_{ψ}$ - $L_{\infty}$ -estimates, and arrives at $L_{p}$ - $L_{p}$ -estimates, or more generally, at estimates between K-functionals from interpolation theory.

Publié le : 1997-01-01

Zbl 0874.46011

EUDML-ID : urn:eudml:doc:216374

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     author = {Stefan Geiss},
     title = {$BMO\_$\psi$$-spaces and applications to extrapolation theory},
     journal = {Studia Mathematica},
     volume = {122},
     year = {1997},
     pages = {235-274},
     zbl = {0874.46011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv122i3p235bwm}
}

Geiss, Stefan. $BMO_ψ$-spaces and applications to extrapolation theory. Studia Mathematica, Tome 122 (1997) pp. 235-274. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv122i3p235bwm/

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