Geodesic
Optimal rearrangement-invariant Banach function range for the Hilbert transform
Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 90-103.

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We describe the optimal rearrangement-invariant Banach function range of the classical Hilbert transform acting on a rearrangement-invariant Banach function space. We also show the existence of such optimal range for the Lorentz and Marcinkiewicz spaces. 
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K. S. Tulenov. Optimal rearrangement-invariant Banach function range for the Hilbert transform. Eurasian mathematical journal, Tome 12 (2021) no. 2, pp. 90-103. http://geodesic.mathdoc.fr/item/EMJ_2021_12_2_a9/

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