Boundedness of the Hausdorff operators in Hpspaces, 0<p<1

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Abstract

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.

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Authors

Elijah Liflyand

Bar-Ilan University

Akihiko Miyachi

Tokyo Woman's Christian University

Journals

Studia Mathematica

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Bar-Ilan University

Tokyo Woman's Christian University

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Boundedness of the Hausdorff operators in Hpspaces, 0<p<1

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Abstract

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