Bergman type operator on spaces of holomorphic functions in the unit ball of Cn

S Li - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
In this paper, the boundedness of Bergman type operator T λ, τ on L γ p (φ) with p≥ 1, γ≥ 0
and normal weight φ is characterized for appropriate range of λ and τ. Then the result is …

Bekollé-Bonami estimates on some pseudoconvex domains

Z Huo, NA Wagner, BD Wick - Bulletin des Sciences Mathématiques, 2021 - Elsevier
We establish a weighted L p norm estimate for the Bergman projection for a class of
pseudoconvex domains. We obtain an upper bound for the weighted L p norm when the …

Lp boundedness of Forelli-Rudin type operators on the Hartogs triangle

C Qin, H Wu, X Guo - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
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 …

Weighted estimates for Forelli–Rudin type operators on the Hartogs triangle

C Qin, M Wang, X Guo - Banach Journal of Mathematical Analysis, 2023 - Springer
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 …

Forelli-Rudin type operators on the space Lp, q, s (B) and some applications

X Zhang, H Chen, M Zhou - Journal of Mathematical Analysis and …, 2023 - Elsevier
Let φ be a holomorphic automorphism on the unit ball B of C n, λ and τ be two real numbers.
In this paper, we investigate the conditions such that Forelli-Rudin type operators T λ, τ C φ …

Weighted estimates for the Bergman projection on the Hartogs triangle

Z Huo, BD Wick - Journal of Functional Analysis, 2020 - Elsevier
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 …

Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle

Z Huo, BD Wick - Bulletin of the London Mathematical Society, 2020 - Wiley Online Library
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 …

Carleson measures on the weighted Bergman spaces with Békollé weights

C Tong, J Li - Chinese Annals of Mathematics, Series B, 2021 - Springer
Chinese Annals of Mathematics, Series B Carleson Measures on the Weighted Bergman
Spaces with Békollé Weights∗ Page 1 Chin. Ann. Math. Ser. B 42(4), 2021, 583–600 DOI …

Generalized Forelli-Rudin type operators between several function spaces on the unit ball of ℂn

X Zhang, Y Guo, H Chen, P Tang - Acta Mathematica Scientia, 2024 - Springer
In this paper, we investigate sufficient and necessary conditions such that generalized
Forelli-Rudin type operators T λ, τ, k, S λ, τ, k, Q λ, τ, k and R λ, τ, k are bounded between …

[PDF][PDF] Weighted Sobolev estimates of∂ on domains covered by polydiscs

Y Yuan, Y Zhang - Preprint - users.pfw.edu
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 …