Cover Image

Sobolev regularity of the Bergman and Szegö projections in terms of $\overline{\partial}\oplus\overline{\partial}^{}$ and $\overline{\partial}_{b}\oplus\overline{\partial}_{b}^{}$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Straube, Emil J.
Format:	Preprint
Published:	2024
Subjects:	Complex Variables 32W05, 32W10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

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

A universal $\overline\partial$ solution operator on nonsmooth strongly pseudoconvex domains
by: Yao, Liding
Published: (2024)

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

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

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

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

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

Diederich-Fornæss index and global regularity of the complex Green operator: domains with comparable Levi eigenvalues
by: Gupta, Tanuj, et al.
Published: (2025)

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

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

A note on $ξ-$Bergman kernels
by: Bao, Shijie, et al.
Published: (2022)

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

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

The Levi $q$-core and Property ($P_q$)
by: Dall'Ara, Gian Maria, et al.
Published: (2025)

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

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)

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

Maximal subextension and stability on $m$-capacity of maximal subextension of $m$-subharmonic functions with given boundary values
by: Van Phu, Nguyen
Published: (2023)

Maximal subextension and approximation of $m-$subharmonic function
by: Van Phu, Nguyen, et al.
Published: (2023)

Hessian type equations for $m-ω-$subharmonic functions on bounded domains in $\mathbb C^n$
by: Anh, Hoang Thieu, et al.
Published: (2025)

Approximation of $m$-subharmonic functions in weighted energy classes with given boundary values
by: Van Phu, Nguyen
Published: (2025)

Weighted energy class of $m$-subharmonic functions
by: Anh, H. T., et al.
Published: (2023)

An $L^2$-$\partial\overline\partial$-Lemma on a class of complete Kähler manifolds
by: Piovani, Riccardo
Published: (2026)

Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for $q$-concave domains
by: Liu, Bingxiao, et al.
Published: (2025)

Concavity property of minimal $L^2$ integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces
by: Bao, Shijie, et al.
Published: (2022)

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

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

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

Degenerate complex Hessian equations with arbitrary measure in bounded domains
by: Van Phu, Nguyen, et al.
Published: (2025)

Continuity of the complex Monge-Ampère operator on compact Hermitian manifolds
by: Hai, Le Mau, et al.
Published: (2026)

Monge-Ampere type equations on compact Hermitian manifolds with bounded mass property
by: Li, Xuan
Published: (2026)

Singularities vs non-pluripolar Monge--Ampère masses
by: Dang, Quang-Tuan, et al.
Published: (2025)

Convergence in $(ω,m)$-capacity in the class $\mathcal{E}(X, ω,m)$ on compact Kähler manifolds
by: Hai, Le Mau, et al.
Published: (2026)

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

Complex $m$-Hessian type equations in weighted energy classes of $m$-subharmonic functions with given boundary value
by: Van Phu, Nguyen, et al.
Published: (2024)

Subsolution theorem in weighted energy classes of $m$-subharmonic functions with given boundary value
by: Van Phu, Nguyen
Published: (2025)

A property of holomorphic functions related to plurisubharmonic functions
by: Van Phu, Nguyen
Published: (2023)

Bounded solution to Hessian type equations for $(ø,m)-β$-subharmonic functions on a ball in $\mathbb C^n$
by: Anh, Hoang Thieu, et al.
Published: (2025)