3 papers
math.CV2026
Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and
Adam B. Christopherson, Zhenghui Huo, Nathan A. Wagner +1
We prove an $\LlogL $-type distributional inequality for the commutator of the Bergman projection with a conjugate Bloch symbol function on the unit ball. Such an inequality can be…
math.CV2025
Restricted type estimates on the Bergman projection of some singular domains
Debraj Chakrabarti, Zhenghui Huo
We obtain (weighted) restricted type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle. From these estimates…
math.FA2024
On spectra of Hankel operators on the polydisc
Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu
We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also c…