4 papers
The Local Embedding Problem for Hardy Spaces of Dirichlet Series
Bonan Chen, Xiang Fang, Feng Guo +3
We solve the local embedding problem for Hardy spaces of Dirichlet series, which is a dimension-free trace problem asking whether the global -norm controls local $L^…
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…