Yin Liu

activity

20162026

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3 papers · 1 filter

math.FA2026

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

Yin Liu, Yufeng Lu, Chao Zu

For $k \geq 1$ , let $M_{k} = [(z - w)^{k}] \subset H^{2} (D^{2})$ . We first determine the banded Toeplitz matrices associated with the homogeneous components of $M_{k}$ , together with explic…

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

In this paper, we study numerical invariants associated with a homogeneous submodule of the Hardy module over the bidisk. We focus on the submodule generated by the polynomial $(z-…

Strict Monotonicity of Numerical Invariants for the Submodules [(z−w)k] in H2(D2)

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

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

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

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 $H^{2} (D^{2})$