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5 papers

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

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…

math.FA2026

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…

math.FA2026

A Fourier Criterion for the Toeplitzness of Operators on Fock Spaces

Zhaopeng Lin, Yufeng Lu, Chao Zu

We give a Fourier criterion for the Toeplitzness of bounded operators on Fock spaces, where Toeplitzness means representability as a Toeplitz operator with a bounded measurable sym…

math.FA2026

Toeplitz Operators on Quaternionic Fock Spaces

Zhaopeng Lin, Yufeng Lu, Chao Zu

We characterize boundedness and compactness of Toeplitz operators on quaternionic Fock spaces with positive measure symbols and slice-function symbols in \(\mathrm{BMO}^1\). For po…