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20072026
most citedGeometric constructions of thin Blaschke products and reducing subspace problem

21 citations · 27 across the 20 of their papers we have counts for

collaborators

20 papers

math.FA2026

Toeplitz and Hankel operators on Bergman spaces with doubling weights

Yongjiang Duan, Kunyu Guo, Junhan Hong +1

In this paper, we focus on the boundedness and compactness of the Toeplitz operators and the Hankel operators on the -weighted Bergman spaces (…

math.OA2023

Essentially normal quotient weighted Bergman modules over the bidisk and distinguished varieties

Kunyu Guo, Penghui Wang, Chong Zhao

We introduce a Grassmannian structure for a class of quotient Hilbert modules and attack the polydisc version of Arveson-Douglas conjecture associated to distinguished varieties. M…

math.CV2022

Nevanlinna class, Dirichlet series and Szegö's problem

Kunyu Guo, Jiaqi Ni, Qi Zhou

This paper is associated with Nevanlinna class, Dirichlet series and Szegö's problem in infinitely many variables. As we will see, there is a natural connection between these topic…

math.FA2021

Invariant subspaces of weighted Bergman spaces in infinitely many variables

Hui Dan, Kunyu Guo, Jiaqi Ni

This paper is concerned with polynomially generated multiplier invariant subspaces of the weighted Bergman space in infinitely many variables. We completely cl…

math.FA2020

Projections in Toeplitz algebra

Hui Dan, Xuanhao Ding, Kunyu Guo +1

Motivated by Barr{\'ı}a-Halmos's \cite[Question 19]{barria1982asymptotic} and Halmos's \cite[Problem 237]{Halmos1978A}, we explore projections in Toeplitz algebra on the Hardy spac…

math.FA2020

Power dilation systems in Dirichlet-type spaces

Hui Dan, Kunyu Guo

In this paper, we concentrate on power dilation systems in Dirichlet-type spaces . When , we prove that $\{f(…