Boundedness of the Hausdorff operators in
 $H^p$ spaces, $0&lt; p&lt; 1$

Elijah Liflyand; Akihiko Miyachi

doi:10.4064/sm194-3-4

Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

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Boundedness of the Hausdorff operators in $H^p$ spaces, $0< p< 1$

Volume 194 / 2009

Elijah Liflyand, Akihiko Miyachi Studia Mathematica 194 (2009), 279-292 MSC: 42A38, 42B30. DOI: 10.4064/sm194-3-4

Abstract

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.

Authors

Elijah LiflyandDepartment of Mathematics
Bar-Ilan University
Ramat-Gan 52900, Israel
e-mail
Akihiko MiyachiDepartment of Mathematics
Tokyo Woman's Christian University
Zempukuji, Suginami-ku
Tokyo 167-8585, Japan
e-mail

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Instytut Matematyczny Polskiej Akademii Nauk / Institute of Mathematics / Publishing house / Journals and Serials / Studia Mathematica / All issues

Studia Mathematica

Boundedness of the Hausdorff operators in H^p spaces, 0< p< 10< p< 1

Volume 194 / 2009

Abstract

Authors

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Boundedness of the Hausdorff operators in $H^p$ spaces, $0< p< 1$