Oscillatory kernels in certain Hardy-type spaces

Chen, Lung-Kee; Fan, Dashan

Studia Mathematica, Tome 108 (1994), p. 195-206 / Harvested from The Polish Digital Mathematics Library

Résumé

We consider a convolution operator Tf = p.v. Ω ⁎ f with $Ω (x) = K (x) e^{i h (x)}$ , where K(x) is an (n,β) kernel near the origin and an (α,β), α ≥ n, kernel away from the origin; h(x) is a real-valued $C^{\infty}$ function on $ℝ^{n} ∖ 0$ . We give a criterion for such an operator to be bounded from the space $H_{0}^{p} (ℝ^{n})$ into itself.

Publié le : 1994-01-01

Zbl 0813.42012

EUDML-ID : urn:eudml:doc:216128

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     author = {Lung-Kee Chen and Dashan Fan},
     title = {Oscillatory kernels in certain Hardy-type spaces},
     journal = {Studia Mathematica},
     volume = {108},
     year = {1994},
     pages = {195-206},
     zbl = {0813.42012},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv111i2p195bwm}
}

Chen, Lung-Kee; Fan, Dashan. Oscillatory kernels in certain Hardy-type spaces. Studia Mathematica, Tome 108 (1994) pp. 195-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv111i2p195bwm/

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