4.2 Article

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

Journal

STUDIA MATHEMATICA
Volume 194, Issue 3, Pages 279-292

Publisher

POLISH ACAD SCIENCES INST MATHEMATICS
DOI: 10.4064/sm194-3-4

Keywords

Hausdorff operator; Cesaro operator; Hardy spaces; Fourier transform

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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.

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