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math.AP2026
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…
math.FA2026
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…