Zhenguo Wei

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math.OA2024

On the best constants of the noncommutative Littlewood-Paley-Stein inequalities

Zhenguo Wei, Hao Zhang

Let $1 < p < \infty$ . Let ${T_{t}}_{t > 0}$ be a noncommutative symmetric diffusion semigroup on a semifinite von Neumann algebra $M$ , and let ${P_{t}}_{t > 0}$ be its associated…

math.OA2024

Boundedness of operator-valued commutators involving martingale paraproducts

Zhenguo Wei, Hao Zhang

Let $1 < p < \infty$ . We show the boundedness of operator-valued commutators $[π_{a}, M_{b}]$ on the noncommutative $L_{p} (L_{\infty} (R) \otimes M)$ for any von Neumann algebr…