Cover Image

$\bar\partial$ Sobolev-type inequality and an improved $L^2$-estimate of $\bar\partial$ on bounded strictly pseudoconvex domains

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Deng, Fusheng, Jiang, Weiwen, Qin, Xiangsen
Format:	Preprint
Published:	2024
Subjects:	Complex Variables
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A bridge connecting convex analysis and complex analysis and $L^2$-estimate of $d$ and $\bar\partial$
by: Deng, Fusheng, et al.
Published: (2024)

Uniform estimates of Green functions and Sobolev-type inequalities on real and complex manifolds
by: Deng, Fusheng, et al.
Published: (2024)

Estimates of heat kernels and Sobolev-type inequalities for twisted differential forms on compact Kähler manifolds
by: Deng, Fusheng, et al.
Published: (2025)

Some Sobolev-type inequalities for twisted differential forms on real and complex manifolds
by: Deng, Fusheng, et al.
Published: (2025)

Quantitative Carleman-type estimates for holomorphic sections over bounded domains
by: Qin, Xiangsen
Published: (2025)

Sobolev and Hölder estimates for the $\overline \partial$ equation on pseudoconvex domains of finite type in $\mathbb C^2$
by: Shi, Ziming
Published: (2024)

$L^2$-estimates on flat vector bundles and Prékopa's theorem
by: Huang, Gang, et al.
Published: (2025)

Curvature formulas and curvature strict positivity of direct image bundles
by: Qin, Xiangsen
Published: (2024)

Solving the $\partial \bar{\partial}$ with prescribed support
by: Ingoba, Winnie Ossete, et al.
Published: (2025)

Generalized study of the operator $α\partial^k \bar{\partial}^{k} + β\bar{\partial}^k +γ\partial^k + c$ in weighted Hilbert space $L^2(\mathbb{C}, \mathrm{e}^{-|z|^2})$
by: Bodian, Eramane, et al.
Published: (2025)

Estimates for the $\bar{\partial}$-equation on canonical surfaces
by: Andersson, Mats, et al.
Published: (2018)

Recent advances in Bergman type projections in bounded pseudoconvex and tubular domains
by: Shamoyan, R. F., et al.
Published: (2025)

Asymptotic characterizations of strong pseudoconvexity on pseudoconvex domains of finite type in $\mathbb{C}^2$
by: Liu, Jinsong, et al.
Published: (2024)

$L^2$-Sobolev Theory for $\bar\partial$ on Domains in $\Bbb {CP}^n$
by: Shaw, Mei-Chi
Published: (2025)

A Gehring-Hayman inequality for strongly pseudoconvex domains
by: Kosiński, Łukasz, et al.
Published: (2023)

Global regularity for the $\bar\partial$-Neumann problem on pseudoconvex manifolds
by: Khanh, Tran Vu, et al.
Published: (2024)

Polynomial convexity of $\bar\partial$-flat perturbations of totally real sets
by: Arosio, Leandro, et al.
Published: (2025)

Hölder regularity of the $\bar\partial-$equation on the polydisc
by: Loo, Yu Jun, et al.
Published: (2023)

The union problem for domains with partial pseudoconvex boundaries
by: Hu, Jinjin, et al.
Published: (2025)

Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields
by: Wang, Qianyun, et al.
Published: (2025)

On Bergman type projection in some new analytic function spaces in bounded strongly pseudoconvex domains
by: Shamoyan, R. F., et al.
Published: (2025)

The $\bar\partial$-problem on $Z(q)$-domains
by: Chakrabarti, Debraj, et al.
Published: (2024)

Boundary behaviour of the Fefferman--Szegö metric in strictly pseudoconvex domains
by: Bhatnagar, Anjali
Published: (2025)

Logarithmic $\bf{\partial\bar\partial}$-lemma and several geometric applications (with an Appendix joint with Sheng Rao)
by: Zhang, Runze
Published: (2024)

Precise estimates of invariant distances on strongly pseudoconvex domains
by: Kosiński, Łukasz, et al.
Published: (2023)

$\overline{\partial}$-Estimates on the product of bounded Lipschitz domain
by: Li, Song-Ying, et al.
Published: (2024)

Uniform estimates for the canonical solution to the $\bar\partial$-equation on product domains
by: Dong, Robert Xin, et al.
Published: (2020)

On the Bergman metric of a pseudoconvex domain with a strongly pseudoconvex polyhedral boundary point
by: Huang, Xiaojun, et al.
Published: (2025)

K$\ddot{\operatorname{a}}$hlerity of invariant metrics on pseudoconvex domain of dimension two
by: Wang, Lang
Published: (2025)

Unique continuation of Schrödinger-type equations for $\bar\partial$ II
by: Pan, Yifei, et al.
Published: (2024)

On regularity of $\overline\partial$-solutions on $a_q$ domains with $C^2$ boundary in complex manifolds
by: Gong, Xianghong
Published: (2022)

On the log-hyperconvexity index of pseudoconvex H$\ddot{o}$lder domains in $\mathbb{C}^n$
by: Yu, Tianlong
Published: (2024)

Visible $\mathcal C^2$-smooth domains are pseudoconvex
by: Nikolov, Nikolai, et al.
Published: (2024)

A logarithmic $\bar{\partial}$-equation on a compact Kähler manifold associated to a smooth divisor
by: Wan, Xueyuan
Published: (2018)

Solving the $\partial \overline{\partial}$ for extendable currents without vanishing the boundary cohomology group
by: Bodian, Mamadou Eramane, et al.
Published: (2025)

Unique continuation of Schrödinger-type equations for $\bar\partial$
by: Pan, Yifei, et al.
Published: (2024)

The Bergman-Fridman invariant on some classes of pseudoconvex domains
by: Kumar, Rahul, et al.
Published: (2023)

Diederich--Fornæss index and global regularity in the $\overline{\partial}$--Neumann problem: domains with comparable Levi eigenvalues
by: Liu, Bingyuan, et al.
Published: (2022)

The Kähler-Ricci soliton on bounded pseudoconvex domains
by: Sha, Zehao
Published: (2024)

Almansi-type decomposition and Fueter-Sce theorem for generalized partial-slice regular functions
by: Huo, Qinghai, et al.
Published: (2024)