Cover Image

A universal $\overline\partial$ solution operator on nonsmooth strongly pseudoconvex domains

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Yao, Liding
Format:	Preprint
Published:	2024
Subjects:	Complex Variables 32A26 (primary) 32T25, 32W05 and 46E35 (secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Sobolev and Hölder estimates for homotopy operators of the $\overline\partial$-equation on convex domains of finite multitype
by: Yao, Liding
Published: (2022)

On $\overline\partial$ homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates
by: Yao, Liding, et al.
Published: (2025)

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

Local regularity of the Bergman projection on a class of pseudoconvex domains of finite type
by: Khanh, Tran Vu, et al.
Published: (2014)

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

Sobolev regularity of the Bergman and Szegö projections in terms of $\overline{\partial}\oplus\overline{\partial}^{*}$ and $\overline{\partial}_{b}\oplus\overline{\partial}_{b}^{*}$
by: Straube, Emil J.
Published: (2024)

The Oka principle for holomorphic fibre bundles of Holder-Zygmund classes on strongly pseudoconvex domains
by: Forstneric, Franc
Published: (2026)

On holomorphicity of Hartogs series satisfying algebraic relations
by: Aoki, Hiroki, et al.
Published: (2024)

A homotopy formula for $a_q$ domains in complex manifolds
by: Gong, Xianghong, et al.
Published: (2025)

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

Tower multitype and global regularity of the $\bar\partial$-Neumann operator
by: Zaitsev, Dmitri
Published: (2024)

The Kohn Algorithm on Denjoy-Carleman Classes
by: Nicoara, Andreea C.
Published: (2008)

Regularity in the $\overline{\partial}$--Neumann problem, D'Angelo forms, and Diederich--Fornæss index
by: Straube, Emil J.
Published: (2025)

Global Newlander-Nirenberg theorem on domains with finite smooth boundary in complex manifolds
by: Gong, Xianghong, et al.
Published: (2024)

The Range of the Monge-Ampère operator $(ω+ dd^c .)^n$ in bounded domains
by: Alehyane, Omar, et al.
Published: (2025)

Integrability of Koszul connections on complex vector bundles over domains in ${\mathbf C}^n$
by: Gong, Xianghong
Published: (2025)

The nonhomogeneous Cauchy-Riemann equation on families of open Riemann surfaces
by: Forstneric, Franc
Published: (2025)

Higher complex Sobolev spaces on complex manifolds
by: Do, Thai Duong, et al.
Published: (2024)

Canonical sheaves at isolated canonical Gorenstein singularities
by: Ruppenthal, Jean
Published: (2026)

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

An application of adjoint ideal sheaves to injectivity and extension theorems
by: Chan, Tsz On Mario, et al.
Published: (2023)

An injectivity theorem on snc compact Kähler spaces: an application of the theory of harmonic integrals on log-canonical centers via adjoint ideal sheaves
by: Chan, Tsz On Mario, et al.
Published: (2023)

Injectivity theorems for higher direct images under proper Kähler morphisms on snc spaces
by: Chan, Tsz On Mario, et al.
Published: (2024)

Volumes of Subvarieties of Complex Ball Quotients and Sparsity of Rational Points
by: Memariansorkhabi, Soheil
Published: (2023)

Random Polynomials in Several Complex Variables
by: Bayraktar, Turgay, et al.
Published: (2021)

bi-Lipschitz versus Analytic equivalence of two variable complex quasihomogeneous function-germs
by: Câmara, Leonardo, et al.
Published: (2025)

Higher dimensional worm domains
by: Calamai, Simone, et al.
Published: (2024)

$H^2-$Corona problem on $δ-$regular domains
by: Chen, Bo-Yong, et al.
Published: (2022)

A note for Carleson measure on bounded $\mathbb{C}$-convex domains
by: Li, Mingjin, et al.
Published: (2025)

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

A solution to Fujita's freeness conjecture via an extension theorem with analytic adjoint ideal sheaves
by: Chan, Tsz On Mario
Published: (2024)

A new characterization of $L^2$-domains of holomorphy with null thin complements via $L^2$-optimal conditions
by: Liu, Zhuo, et al.
Published: (2024)

Subelliptic and Maximal $L^p$ Estimates for the Complex Green Operator on non-pseudoconvex domains
by: Coacalle, Joel
Published: (2025)

On the topological invariance of the algebraic multiplicity of holomorphic foliations
by: Câmara, Leonardo M., et al.
Published: (2024)

Monge-Ampère equations with prescribed singularities on compact Hermitian manifolds
by: Alehyane, Omar, et al.
Published: (2025)

Degenerate complex Monge-Ampère equations on some compact Hermitian manifolds
by: Salouf, Mohammed
Published: (2024)

Tian's properness conjectures: an introduction to Kahler geometry
by: Rubinstein, Yanir A.
Published: (2018)

On Classification of compact complex surfaces of class VII
by: Dloussky, Georges
Published: (2024)

Equivalence of the sharp effectiveness results of strong openness property
by: Bao, Shijie, et al.
Published: (2024)

Continuity of solutions to complex Hessian equations on compact Hermitian manifolds
by: Fang, Yuetong
Published: (2025)