19 citations · 31 across the 7 of their papers we have counts for
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math.FA2019★ 5 cited
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…
math.FA2019★ 19 cited
The optimal range of the Calderòn operator and its applications
F. Sukochev, K. Tulenov, D. Zanin
We identify the optimal range of the Calderòn operator and that of the classical Hilbert transform in the class of symmetric quasi-Banach spaces. Further consequences of our approa…
math.FA2019★ 5 cited
The optimal symmetric quasi-Banach range of the discrete Hilbert transform
K. S. Tulenov
We identify symmetric quasi-Banach range of the discrete Calderón operator and Hilbert transform acting on a symmetric quasi-Banach sequence space. As an application we present an…