Essential norms of weighted composition operators between Hardy spaces $H^{p}$ and $H^{q}$ for 1 ≤ p,q ≤ ∞

R. Demazeux

Essential norms of weighted composition operators between Hardy spaces

H^{p}

and

H^{q}

for 1 ≤ p,q ≤ ∞

R. Demazeux

Studia Mathematica, Tome 204 (2011), p. 191-209 / Harvested from The Polish Digital Mathematics Library

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Résumé

We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces $H^{p}$ and $H^{q}$ for 1 ≤ p,q ≤ ∞. In particular we give some estimates for the cases 1 = p ≤ q ≤ ∞ and 1 ≤ q < p ≤ ∞.

Publié le : 2011-01-01

Zbl 1237.47028

EUDML-ID : urn:eudml:doc:285401

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     title = {Essential norms of weighted composition operators between Hardy spaces $H^{p}$ and $H^{q}$ for 1 $\leq$ p,q $\leq$ $\infty$},
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     year = {2011},
     pages = {191-209},
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R. Demazeux. Essential norms of weighted composition operators between Hardy spaces $H^{p}$ and $H^{q}$ for 1 ≤ p,q ≤ ∞. Studia Mathematica, Tome 204 (2011) pp. 191-209. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm206-3-1/