Weighted-BMO and the Hilbert transform
Jiang, Hui-Ming
Studia Mathematica, Tome 100 (1991), p. 75-80 / Harvested from The Polish Digital Mathematics Library
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In 1967, E. M. Stein proved that the Hilbert transform is bounded from L∞ to BMO. In 1976, Muckenhoupt and Wheeden gave an analogue of Stein’s result. They gave a necessary and sufficient condition for the boundedness of the Hilbert transform from Lw∞. We improve the results of Muckenhoupt and Wheeden’s and give a necessary and sufficient condition for the boundedness of the Hilbert transform from BMOw to BMOw.

Publié le : 1991-01-01
EUDML-ID : urn:eudml:doc:215874 
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Jiang, Hui-Ming. Weighted-BMO and the Hilbert transform. Studia Mathematica, Tome 100 (1991) pp. 75-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv100i1p75bwm/

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