We obtain sharp ranges of-boundedness for domains in a wide class of Reinhardt domains
representable as sublevel sets of monomials, by expressing them as quotients of simpler …

The Hartogs triangle H={(z 1, z 2)∈ C 2:| z 1|<| z 2|< 1}, compared with the unit ball, is a non-
smooth pseudoconvex domain which reveals various remarkable phenomena in several …

In this paper, we give the sharp estimates of the norms for the Forelli–Rudin type integral
operators on the Hartogs triangle by applying the domination technique of positive dyadic …

The n-dimensional generalized Hartogs triangles are domains defined by H pn:={(z 1,…,
zn)∈ C n:| z 1| p 1<⋯<| zn| pn< 1} with p:=(p 1,…, pn)∈(Z+) n and n≥ 2. In this paper, we …

The Bergman kernels of monomial polyhedra are explicitly computed. Monomial polyhedra
are a class of bounded pseudoconvex Reinhardt domains defined as sublevel sets of …

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 …

Weighted Sobolev estimates of∂ on domains covered by polydiscs Page 1 Weighted Sobolev
estimates of∂ on domains covered by polydiscs Yuan Yuan and Yuan Zhang Abstract This …

Abstract For given p:=(p 1,…, pn)∈(Z+) n, the n-dimensional generalized Hartogs triangle is
a bounded nonsmooth pseudoconvex domain defined by H pn:={(z 1,…, zn)∈ C n:| z 1| p …

In this paper, we research the weak-type regularity of the Bergman projection for n-
dimensional generalized Hartogs triangles. The weak-type regularity of the Bergman …

The definition of classical holomorphic function spaces such as the Hardy space or the
Dirichlet space on the Hartogs triangle is not canonical. In this paper we introduce a natural …