Interpolation of operators when the extreme spaces are $L^{∞}$

Bastero, Jesús; Ruiz, Francisco

Interpolation of operators when the extreme spaces are

L^{\infty}

Bastero, Jesús ; Ruiz, Francisco

Studia Mathematica, Tome 104 (1993), p. 133-150 / Harvested from The Polish Digital Mathematics Library

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Résumé

Under some assumptions on the pair $(A_{0}, B_{0})$ , we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are $L^{\infty}$ . Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.

Publié le : 1993-01-01

Zbl 0814.46063

EUDML-ID : urn:eudml:doc:215965

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     author = {Jes\'us Bastero and Francisco Ruiz},
     title = {Interpolation of operators when the extreme spaces are $L^{$\infty$}$
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     journal = {Studia Mathematica},
     volume = {104},
     year = {1993},
     pages = {133-150},
     zbl = {0814.46063},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv104i2p133bwm}
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Bastero, Jesús; Ruiz, Francisco. Interpolation of operators when the extreme spaces are $L^{∞}$
            . Studia Mathematica, Tome 104 (1993) pp. 133-150. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv104i2p133bwm/

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