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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…
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…
Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains
Bingyang Hu, Zhenghui Huo
In this paper, we study the behavior of the weighted composition operators acting on Bergman spaces defined on strictly pseudoconvex domains via the sparse domination technique fro…
Weak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle
Zhenghui Huo, Brett D. Wick
In this paper, we investigate the weak-type regularity of the Bergman projection. The two domains we focus on are the polydisc and the Hartogs triangle. For the polydisc we provide…
Weighted estimates for the Bergman projection on the Hartogs triangle
Zhenghui Huo, Brett D. Wick
We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman proj…
Compactness of operators on the Bergman space of the Thullen domain
Zhenghui Huo, Brett D. Wick
We study compact operators on the Bergman space of the Thullen domain defined by with and . The domain need not…