Dilong Li

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20242026

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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…

math.FA2025

Contractive projections, conditional expectations, and idempotent coefficient multipliers on $H^{p}$ spaces $(0 < p < 1)$

Xiangdi Fu, Kunyu Guo, Dilong Li

In this paper, we investigate contractive projections, conditional expectations, and idempotent coefficient multipliers on the Hardy spaces $H^{p} (T)$ for $0 < p < 1$ . For such…

math.FA2024

Extension of contractive projections

Xiangdi Fu, Kunyu Guo, Dilong Li

Through the establishment of several extension theorems, we provide explicit expressions for all contractive projections and 1-complemented subspaces in the Hardy space $H^p(\mathb…

On the contractivity of the Riesz projection

Contractive projections, conditional expectations, and idempotent coefficient multipliers on Hp spaces (0<p<1)

Extension of contractive projections

Contractive projections, conditional expectations, and idempotent coefficient multipliers on $H^{p}$ spaces $(0 < p < 1)$