Xinyu Zhang

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math.OA2026

Endpoint Schatten class properties of commutators on quantum tori

Xinyu Zhang

We study endpoint Schatten class properties of commutators $[I_{θ}^{ε}, M_{x}]$ on quantum tori of dimension $d \geq 2$ , where $I_{θ}^{ε}$ is the Riesz potential of order $ε$ and $M_{x}$ denotes…

math.OA2026

Weyl's laws and Connes' Trace Theorem for operator-valued pseudo-differential operators

Edward McDonald, Xiao Xiong, Xinyu Zhang

We investigate the spectral asymptotic behavior of operator-valued classical pseudo-differential operators ( $Ψ$ DOs) for negative order with symbols taking values in a semifinite vo…