Geodesic
Boundedness of the Hausdorff operators in $H^p$ spaces, $0 p 1$
Elijah Liflyand 1   ; Akihiko Miyachi 2
1 Department of Mathematics Bar-Ilan University Ramat-Gan 52900, Israel
2 Department of Mathematics Tokyo Woman's Christian University Zempukuji, Suginami-ku Tokyo 167-8585, Japan
Studia Mathematica, Tome 194 (2009) no. 3, pp. 279-292 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces $H^p$, $0 p 1$, on the real line are proved. Two related negative results are also given.
DOI : 10.4064/sm194-3-4
Keywords: sufficient conditions boundedness hausdorff operators hardy spaces real line proved related negative results given

Elijah Liflyand  1   ; Akihiko Miyachi  2

1 Department of Mathematics Bar-Ilan University Ramat-Gan 52900, Israel
2 Department of Mathematics Tokyo Woman's Christian University Zempukuji, Suginami-ku Tokyo 167-8585, Japan 
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     title = {Boundedness of the {Hausdorff} operators in
 $H^p$ spaces, $0< p< 1$},
     journal = {Studia Mathematica},
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Elijah Liflyand; Akihiko Miyachi. Boundedness of the Hausdorff operators in
 $H^p$ spaces, $0< p< 1$. Studia Mathematica, Tome 194 (2009) no. 3, pp. 279-292. doi: 10.4064/sm194-3-4

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