Yin Liu

works on

bidisk 1 hardy spaces 1 operator theory 1 several complex variables 1 submodule invariants 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.FA2026

Block Repetition of Numerical Invariants for the Submodules $[z^{k} - w^{k}]$ in $H^{2} (D^{2})$

Yin Liu, Yufeng Lu, Chao Zu

For $k \geq 2$ , let $M_{k} = [z^{k} - w^{k}]$ be the principal homogeneous submodule of the Hardy space over the bidisk. We determine Yang's complete sequence of numerical invariants and prove…

math.FA2026

On numerical invariants for submodules $[(z - w)^{2}]$ in $H^{2} (D^{2})$

Yin Liu, Yufeng Lu, Chao Zu

The paper derives explicit formulas for numerical invariants of the homogeneous submodule generated by (z‑w)^2 in the Hardy module over the bidisk and checks a monotonicity propert…

Block Repetition of Numerical Invariants for the Submodules [zk−wk] in H2(D2)

On numerical invariants for submodules [(z−w)2] in H2(D2)

Block Repetition of Numerical Invariants for the Submodules $[z^{k} - w^{k}]$ in $H^{2} (D^{2})$

On numerical invariants for submodules $[(z - w)^{2}]$ in $H^{2} (D^{2})$