A survey of the regularity of the Bergman projection

YE Zeytuncu - Complex Analysis and its Synergies, 2020 - Springer
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Carleson measures on convex domains with smooth boundary of finite type

H Li, J Liu, H Wang - Mathematische Nachrichten, 2024 - Wiley Online Library
Abstract Following M. Abate and A. Saracco's work on strongly pseudoconvex domains in C
n C^n, we characterize Carleson measures of A 2 (D) A^2(D) in bounded convex domains in …

Bergman–Toeplitz operators on weakly pseudoconvex domains

TV Khanh, J Liu, PT Thuc - Mathematische Zeitschrift, 2019 - Springer
We prove that for certain classes of pseudoconvex domains of finite type, the Bergman–
Toeplitz operator T_ ψ T ψ with symbol ψ= K^-α ψ= K-α maps from L^ p L p to L^ q L q …

Special Toeplitz Operators on n-Dimensional Generalized Hartogs Triangles

H Liu, Y Tang, Z Tu, S Zhang - Complex Analysis and Operator Theory, 2023 - Springer
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 …

Carleson measures on the generalized Hartogs triangles

S Zhang - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
In this paper, we characterize the Carleson measures of the weighted Bergman spaces on a
wide class of non-smooth pseudoconvex Reinhardt domains, which contains some …

Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains

Z Hu, X Lv, K Zhu - Mathematische Nachrichten, 2016 - Wiley Online Library
Given a bounded strongly pseudoconvex domain D in with smooth boundary, we
characterize‐Bergman Carleson measures for,, and. As an application, we show that the …

[PDF][PDF] On distance estimates and atomic decompositions in spaces of analytic functions on strictly pseudoconvex domains

M Arsenovic, RF Shamoyan - Bulletin of the Korean Mathematical …, 2015 - academia.edu
We prove some sharp extremal distance results for functions in various spaces of analytic
functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain …

[HTML][HTML] Tent Carleson measures for Hardy spaces

X Lv, J Pau - Journal of Functional Analysis, 2024 - Elsevier
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Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains

M Abate, S Mongodi, J Raissy - arXiv preprint arXiv:1905.13056, 2019 - arxiv.org
In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman
spaces of bounded strongly pseudconvex domains in $\mathbb {C}^ n $. In particular we …

The commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothness

B Hu, Z Huo, L Lanzani, K Palencia… - Journal of Functional …, 2024 - Elsevier
Consider a bounded, strongly pseudoconvex domain D⊂ C n with minimal smoothness
(namely, the class C 2) and let b be a locally integrable function on D. We characterize …