4 papers
Critical Gaussian Multiplicative Chaos on the Circle Is Rajchman
Yin Cai, Bonan Chen, Xiang Fang +1
We prove that the Fourier coefficients of the canonical critical Gaussian multiplicative chaos on the circle vanish almost surely at infinity. More precisely, let $M_ϕ^{\mathrm{cri…
Critical Norm Profiles for Finite-Prime Composition Operators on the Hardy Space of Dirichlet Series
Xiang Fang, Feng Guo, Aman Mishra +1
We identify the critical boundary operator-norm profile of finite-prime composition operators on the Hardy--Hilbert space \(\mathcal H^2\) of Dirichlet series. For \[ φ_{δ,\boldsym…
Two Regularity Problems on Analytic Tent Spaces
Xiang Fang, Feng Guo, Shengzhao Hou +2
We study two regularity problems on Hardy-type analytic tent spaces on the unit disk: fractional integration and randomization of Taylor coefficients. For fr…
Two Problems in Bergman Spaces with Non-radial Weights
Xiang Fang, Feng Guo, Shengzhao Hou +1
This paper investigates two problems unified by the study of the uniform boundedness of the dilation operators (UBD) T_r f(z)=f(rz), 0<r<1, acting on weighted Bergman spaces A^p_om…