D. Zanin

activity

20102026

most citedCwikel estimates revisited

23 citations · 132 across the 75 of their papers we have counts for

collaborators

Showing 2024 · math.FAShow all

3 papers · 2 filters

math.FA2024

Spectral asymptotic formula of Bessel--Riesz commutator

Zhijie Fan, Ji Li, Fedor Sukochev +1

Let $R_{λ, j}$ be the $j$ -th Bessel--Riesz transform, where $n \geq 1$ , $λ > 0$ , and $j = 1, \dots, n + 1$ . In this article, we establish a Weyl type asymptotic for $[M_{f}, R_{λ, j}]$ , the com…

math.FA2024

Gagliardo-Nirenberg interpolation inequality for symmetric spaces on Noncommutative torus

Fedor Sukochev, Fulin Yang, Dmitriy Zanin

Let $E (T_{θ}^{d}), F (T_{θ}^{d})$ be two symmetric operator spaces on noncommutative torus $T_{θ}^{d}$ corresponding to symmetric function spaces $E, F$ on $(0,1)…

math.FA2024

Endpoint Schatten class properties of commutators

Rupert L. Frank, Fedor Sukochev, Dmitriy Zanin

We study trace ideal properties of the commutators $[(- Δ)^{\frac{ε}{2}}, M_{f}]$ of a power of the Laplacian with the multiplication operator by a function $f$ on $R^{d}$ . For a c…