3 papers
math.PR2026
Hardy-Szegő Point Processes: Large Deviations and Strong Szegő Asymptotics
Qian Ai, Xiang Fang, Shengzhao Hou
We study exponential-scale fluctuations of the Hardy-Szegő zero process, investigated by Peres and Virág in the disk setting, in its upper-half-plane realization, which reveals a d…
math.FA2026
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…
math.CV2026
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…