Boundedness of the Hausdorff operators in Hp spaces, 0 < p < 1
Elijah Liflyand ; Akihiko Miyachi
Studia Mathematica, Tome 192 (2009), p. 279-292 / Harvested from The Polish Digital Mathematics Library

Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces Hp, 0 < p < 1, on the real line are proved. Two related negative results are also given.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284890
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     author = {Elijah Liflyand and Akihiko Miyachi},
     title = {Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {279-292},
     zbl = {1184.42002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-3-4}
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Elijah Liflyand; Akihiko Miyachi. Boundedness of the Hausdorff operators in $H^{p}$ spaces, 0 < p < 1. Studia Mathematica, Tome 192 (2009) pp. 279-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm194-3-4/