5 citations · 11 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…
An Application of Singular Traces to Crystals and Percolation
N. Azamov, E. Hekkelman, E. McDonald +2
For a certain class of discrete metric spaces, we provide a formula for the density of states. This formula involves Dixmier traces and is proven using recent advances in operator…
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
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…
Weak type commutator and Lipschitz estimates: resolution of the Nazarov-Peller conjecture
Martijn Caspers, Denis Potapov, Fedor Sukochev +1
Let be a semi-finite von Neumann algebra and let be a Lipschitz function. If are self-adjoint operators suc…