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math.FA2020★ 1 cited
Corrigendum to the paper "The optimal range of the Calderon operator and its applications." [J. Funct. Anal. 277 (2019), no. 10, 3513--3559, arXiv:1908.09548]
F. Sukochev, K. Tulenov, D. Zanin
We fix a gap in the proof of a result in our earlier paper arXiv:1908.09548
math.FA2019
The boundedness of the Hilbert transformation from one rearrangement invariant Banach space into another and applications
F. Sukochev, K. Tulenov, D. Zanin
In this paper, we study the boundedness of the Hilbert transformation in Lorentz function spaces, thereby complementing classical results of Boyd. We also characterize the optimal…