From the 2 of 19 linked papers with an AI index.
19 papers
Block Repetition of Numerical Invariants for the Submodules in
Yin Liu, Yufeng Lu, Chao Zu
For , let be the principal homogeneous submodule of the Hardy space over the bidisk. We determine Yang's complete sequence of numerical invariants and prove…
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…
Isometric Composition Operators on for
Zhaopeng Lin, Yufeng Lu, Chao Zu
We characterize the analytic self-maps of the unit disk inducing isometric composition operators on \(\BMOA\) with respect to the Möbius-invariant \(H^p\) norm for \(p\ge1\) and th…
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…
Slice Regular Composition Operators on Quaternionic Fock Spaces via Matrix Realization
Zhaopeng Lin, Yufeng Lu, Chao Zu
The paper characterizes when slice‑regular composition operators (and related weighted and Volterra‑type operators) are bounded or compact on quaternionic Fock spaces, using a matr…
On numerical invariants for submodules in
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…