19 citations · 31 across the 7 of their papers we have counts for
7 papers
Fractional Sobolev embeddings on noncommutative torus
F. Sukochev, R. Tastankul, K. Tulenov +1
In this paper, we study the noncommutative fractional symmetric Sobolev spaces on noncommutative torus. We prove noncommutative distributional fractional Sobolev inequality and as…
Optimal distributional estimates of the multiple Hilbert transform
F. Sukochev, K. Tulenov, D. Zanin
In this paper, we study optimal distributional estimates for the multiple Hilbert transform. We obtain pointwise upper and lower distributional estimates of the multiple Hilbert tr…
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
Weak compactness criteria in space in terms of Orlicz function
Yerlan Nessipbayev, Kanat Tulenov
In this paper, we provide a direct proof for the equivalence of K.M. Chong's and De la Vallée Poussin's criteria of weak compactness of a subset of in terms of some…
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…
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…
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…