3 papers
math.FA2020
A Gaussian version of Littlewood's theorem on random power series
Guozheng Cheng, Xiang Fang, Kunyu Guo +1
We prove a Littlewood-type theorem on random analytic functions for not necessarily independent Gaussian processes. We show that if we randomize a function in the Hardy space $H^2(…
math.FA2018
Random weighted shifts
Guozheng Cheng, Xiang Fang, Sen Zhu
In this paper we initiate the study of a fundamental yet untapped random model of non-selfadjoint, bounded linear operators acting on a separable complex Hilbert space. We replace…
math.FA2018
Three Remarks on Carleson Measures for Dirichlet Space
Guozheng Cheng, Xiang Fang, Zipeng Wang +1
In this paper, we prove that all doubling measures on the unit disk are Carleson measures for the standard Dirichlet space . The proof has three ingredien…