Geodesic
The Hilbert Transform on Rearrangement-Invariant Spaces
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 599-616

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to investigate conditions under which the Hilbert transform defines a bounded linear operator from a given function space into itself. The spaces with which we deal have the property of rearrangement-invariance which is defined in §1. This class of spaces includes the Lebesgue, Orlicz, and Lorentz spaces. 
Boyd, D. W. The Hilbert Transform on Rearrangement-Invariant Spaces. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 599-616. doi: 10.4153/CJM-1967-053-7
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