Author

Tengfei Ma

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Preprint Oct 2026

Unbounded Helson Forms with a Moment Representation

We study the positive Helson form $h_0[a,b]=\sum_{m,n\ge1}\alpha(mn)a_n\overline{b_m}$ on the finitely supported sequences $c_{00}\subset\ell^2(\mathbb{N})$, where $\alpha(n)=\int_{\mathbb{R}}n^{-s}d\mu(s)<\infty$ for a finite positive Borel measure $\mu$. Under the Carleman condition $\sum_{k\ge1}\alpha(4^k)^{-1/(2k)}...

Teng-Fei Ma, Yu-Feng Lu, Chao Zu · 0 citations

Preprint Aug 2026

Helson Forms and Integral Operators on Bergman Spaces of Dirichlet Series

We study a family of operators $T_\alpha$, $\alpha>1$, on Hilbertian Bergman spaces of Dirichlet series. In the natural orthonormal basis, these operators are represented by weighted multiplicative Hilbert matrices involving the generalized divisor coefficients $d_\alpha$. We determine their spectral type. The essentia...

Tengfei Ma, Yu-Feng Lu, Chao Zu · 0 citations