Yufeng Lu

activity

20212026

most citedA geometric approach to the compressed shift operator on the Hardy space over the bidisk

1 citations · 2 across the 23 of their papers we have counts for

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math.FA2026

Radial Convergence along Decreasing Coordinate Radii in \texorpdfstring{$H^\infty(\T^\infty)$}{H-infinity(T-infinity)}

Jiawei Sun, Chao Zu, Yufeng Lu

Aleman, Olsen, and Saksman asked whether radial convergence may fail for bounded analytic functions on the infinite-dimensional polydisc when every radial point has non-increasing…

math.FA2026

Helson Forms and Integral Operators on Bergman Spaces of Dirichlet Series

Tengfei Ma, Yufeng Lu, Chao Zu

We study a family of operators $T_{α}$ , $α > 1$ , on Hilbertian Bergman spaces of Dirichlet series. In the natural orthonormal basis, these operators are represented by weighted multipl…

math.FA2026

Verblunsky coefficients, CMV matrices and numerical invariants of homogeneous bidisc submodules

Yufeng Lu, Chao Zu

Let $[p]$ be the principal submodule generated by a polynomial in $H^{2} (D^{2})$ . For homogeneous $p$ , the homogeneous slices of $[p]$ admit a weighted OPUC model in which the…

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

Corona theorem for the quaternionic Hardy space

Zhaopeng Lin, Yufeng Lu, Chao Zu

The finite-generator corona theorem for bounded slice regular functions on the quaternionic unit ball was recently established by Colombo, Pozzi, Sabadini, and Wick. In the present…

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…

Radial Convergence along Decreasing Coordinate Radii in \texorpdfstring{$H^\infty(\T^\infty)$}{H-infinity(T-infinity)}

Helson Forms and Integral Operators on Bergman Spaces of Dirichlet Series

Verblunsky coefficients, CMV matrices and numerical invariants of homogeneous bidisc submodules

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

Corona theorem for the quaternionic Hardy space

Block Repetition of Numerical Invariants for the Submodules [zk−wk] 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 $H^{2} (D^{2})$