Hardy spaces H¹ for Schrödinger operators with certain potentials

Jacek Dziubański; Jacek Zienkiewicz

Studia Mathematica, Tome 162 (2004), p. 39-53 / Harvested from The Polish Digital Mathematics Library

Résumé

Let ${K_{t}}_{t > 0}$ be the semigroup of linear operators generated by a Schrödinger operator -L = Δ - V with V ≥ 0. We say that f belongs to $H ¹_{L}$ if $| | s u p_{t > 0} | K_{t} {f (x) | | |}_{L ¹ (d x)} < \infty$ . We state conditions on V and $K_{t}$ which allow us to give an atomic characterization of the space $H ¹_{L}$ .

Publié le : 2004-01-01

Zbl 1061.47040

EUDML-ID : urn:eudml:doc:284608

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     title = {Hardy spaces H$^1$ for Schr\"odinger operators with certain potentials},
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     year = {2004},
     pages = {39-53},
     zbl = {1061.47040},
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Jacek Dziubański; Jacek Zienkiewicz. Hardy spaces H¹ for Schrödinger operators with certain potentials. Studia Mathematica, Tome 162 (2004) pp. 39-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-1-3/