Tengfei Ma

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...