Dilong Li

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20242026

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math.FA2026

Weighted Frames and the Douglas-Foias problem

Hui Dan, Kunyu Guo, Dilong Li

Let $T = (T_{1}, \dots, T_{n})$ be a commuting tuple of bounded linear operators on a separable Hilbert space $K$ , and let ${a_{α}}_{α \in Z_{+}^{n}}$ be strictly po…

math.FA2026

On the contractivity of the Riesz projection

Xiangdi Fu, Dilong Li

This note presents a proof that the Riesz projection is contractive from $L^{q}$ to $L^{4 (1 - 1/ q)}$ for the case $1 < q < \infty$ . This fills in the previously unresolved parameter range…