Geodesic
Weighted-BMO and the Hilbert transform
Studia Mathematica, Tome 100 (1991) no. 1, pp. 75-80

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $L^∞_w$. We improve the results of Muckenhoupt and Wheeden's and give a necessary and sufficient condition for the boundedness of the Hilbert transform from $BMO_w$ to $BMO_w$.
DOI : 10.4064/sm-100-1-75-80

Hui-Ming Jiang 1

1 
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Hui-Ming Jiang. Weighted-BMO and the Hilbert transform. Studia Mathematica, Tome 100 (1991) no. 1, pp. 75-80. doi: 10.4064/sm-100-1-75-80

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